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anonymous

  • 5 years ago

-17 – x = -2(3x + 1)

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  1. anonymous
    • 5 years ago
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    You need to distribute the -2 to each of the terms in the parentheses. Then you can solve it in the usual way.

  2. anonymous
    • 5 years ago
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    i did that polPak and heres what i came up with

  3. anonymous
    • 5 years ago
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    -21

  4. anonymous
    • 5 years ago
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    Nope. What was the equation after you do the distributing?

  5. anonymous
    • 5 years ago
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    -17 - 6x +6X -2-X

  6. anonymous
    • 5 years ago
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    2(3X +1) -17- X= 6X + 2

  7. anonymous
    • 5 years ago
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    You forgot that it's a -2, not 2 you're distributing.

  8. anonymous
    • 5 years ago
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    \[-2(3x + 1) = -2(3x) -2(1) = -6x - 2\] So you should have \[17 - x = -6x -2\]

  9. anonymous
    • 5 years ago
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    oh so the 6 becomes -6x

  10. anonymous
    • 5 years ago
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    And the 2 becomes -2.

  11. anonymous
    • 5 years ago
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    Err My equation is slightly wrong.. You should have \[-17 -x = -6x -2\]

  12. anonymous
    • 5 years ago
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    -17 - x = -6 - 2

  13. anonymous
    • 5 years ago
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    Don't lose track of the x on the -6. It's important

  14. anonymous
    • 5 years ago
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    then now i can solve for x so the its -17x -6 - 2

  15. anonymous
    • 5 years ago
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    No. -17 - x is not -17x and you can't just put them together like that.

  16. anonymous
    • 5 years ago
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    Ok look at it like this.

  17. anonymous
    • 5 years ago
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    ok

  18. anonymous
    • 5 years ago
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    You have this equation: \[-17 - x = -6x -2\] That means that \(-17 - x\) IS EXACTLY THE SAME AS \(-6x -2\) So if they are the same then isn't \((-6x -2) + 2\) exactly the same as \((-17 - x) + 2\)?

  19. anonymous
    • 5 years ago
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    -17 - 8 so there for x is 8

  20. anonymous
    • 5 years ago
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    I have no idea what you are doing.. -17 - 8 doesn't enter into it.

  21. anonymous
    • 5 years ago
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    i am just lost

  22. anonymous
    • 5 years ago
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    Ok stop doing things.. Just look at what I'm saying.

  23. anonymous
    • 5 years ago
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    \[-17 - x \text{ EQUALS } -6x -2\]

  24. anonymous
    • 5 years ago
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    okay lol i am stopping right now

  25. anonymous
    • 5 years ago
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    Ok? They are the same.

  26. anonymous
    • 5 years ago
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    That's what equals means right?

  27. anonymous
    • 5 years ago
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    yes

  28. anonymous
    • 5 years ago
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    Ok so now lets use some basic arithmetic rules to clean this up a bit. First we can swap the terms on the left because addition can be rewritten in any order and it works the same.. \[-17 -x = -x -17\] right?

  29. anonymous
    • 5 years ago
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    okay

  30. anonymous
    • 5 years ago
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    Do you agree that those two are equal? Is 3+5 the same as 5+3 and -3 - 5 the same as -5 - 3?

  31. anonymous
    • 5 years ago
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    yes

  32. anonymous
    • 5 years ago
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    because you distribute right

  33. anonymous
    • 5 years ago
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    Commute, but yeah.

  34. anonymous
    • 5 years ago
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    Ok, so -17 - x is the same as -x - 17. But we also said that -17 - x was the same as -6x - 2. So that means that -x - 17 must be the same as -6x - 2.

  35. anonymous
    • 5 years ago
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    Right?

  36. anonymous
    • 5 years ago
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    right

  37. anonymous
    • 5 years ago
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    So now our equation looks like this: \[-x - 17 = -6x - 2\]

  38. anonymous
    • 5 years ago
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    that part i got is solving for x thats has me upside ways

  39. anonymous
    • 5 years ago
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    We'll get there.

  40. anonymous
    • 5 years ago
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    So if those two things are the same.. Then isn't \[6x + (-x - 17) = 6x + (-6x - 2)\]

  41. anonymous
    • 5 years ago
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    Because we added 6x to both sides, and if they were equal to start with, they must still be equal.

  42. anonymous
    • 5 years ago
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    okay thats the part that throws me off

  43. anonymous
    • 5 years ago
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    How so?

  44. anonymous
    • 5 years ago
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    its like my flipping mind goes blank and i have no idea what comes next

  45. anonymous
    • 5 years ago
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    Ok relax for a second and lets talk about something else first.

  46. anonymous
    • 5 years ago
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    or maybe i am trying too hard to understand and i get tied up

  47. anonymous
    • 5 years ago
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    Think of a number, any number you want. Don't tell me what it is.

  48. anonymous
    • 5 years ago
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    ok

  49. anonymous
    • 5 years ago
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    Now, tell me what 2 times that number is.

  50. anonymous
    • 5 years ago
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    184

  51. anonymous
    • 5 years ago
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    Ok. So now I will magically read your mind and tell you that your number is 92!

  52. anonymous
    • 5 years ago
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    How did I accomplish this sorcery?

  53. anonymous
    • 5 years ago
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    lol yes

  54. anonymous
    • 5 years ago
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    you divided

  55. anonymous
    • 5 years ago
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    But how does that help me?

  56. anonymous
    • 5 years ago
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    Because you told me that 2x = 182

  57. anonymous
    • 5 years ago
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    Well I know that if 2x = 182 then \[2x \times {1 \over 2} = 182 \times {1 \over 2}\]

  58. anonymous
    • 5 years ago
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    so you have to find out what 2x amounts to

  59. anonymous
    • 5 years ago
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    Because you said that they were the same, so anything I do to both sides will maintain equality.

  60. anonymous
    • 5 years ago
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    And \[2x \times \frac{1}{2} = x\]

  61. anonymous
    • 5 years ago
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    And \[182 \times \frac{1}{2} = 92\]

  62. anonymous
    • 5 years ago
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    So therefore x = 92

  63. anonymous
    • 5 years ago
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    So now I'm thinking of a number.

  64. anonymous
    • 5 years ago
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    91

  65. anonymous
    • 5 years ago
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    okay

  66. anonymous
    • 5 years ago
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    Whoops. Sorry I typo'd your response.

  67. anonymous
    • 5 years ago
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    Shoulda been 184 not 182.

  68. anonymous
    • 5 years ago
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    no one has ever broke it down like this thank you

  69. anonymous
    • 5 years ago
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    its okay

  70. anonymous
    • 5 years ago
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    so you want me to solve for your number

  71. anonymous
    • 5 years ago
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    Now if you take the number I'm thinking of, and add 17 to it. You will get 2 more than 6 times that same number.

  72. anonymous
    • 5 years ago
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    So first. can you write an equation (using x for my number) which describes the statement I've given you?

  73. anonymous
    • 5 years ago
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    2(6^6)+17=X

  74. anonymous
    • 5 years ago
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    Not quite. Lets break down what I said: x + 17 The number I'm thinking of, and add 17 to it = IS 2 more than 6 times that number 2 + 6x

  75. anonymous
    • 5 years ago
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    Or better still 6x + 2

  76. anonymous
    • 5 years ago
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    12(6)=72+17=89

  77. anonymous
    • 5 years ago
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    No no no.

  78. anonymous
    • 5 years ago
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    OH WOW

  79. anonymous
    • 5 years ago
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    You keep jumping ahead ;)

  80. anonymous
    • 5 years ago
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    okay am slowing down

  81. anonymous
    • 5 years ago
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    and laughing at myself

  82. anonymous
    • 5 years ago
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    np =)

  83. anonymous
    • 5 years ago
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    Try again. 14 more than the number is 2 more than 4 times the number.

  84. anonymous
    • 5 years ago
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    We're just practicing turning english into equations.

  85. anonymous
    • 5 years ago
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    okay

  86. anonymous
    • 5 years ago
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    Don't try to solve it yet. Just rewrite what I say in equation form.

  87. anonymous
    • 5 years ago
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    Actually 14 more than the number is 5 more than 4 times the number.

  88. anonymous
    • 5 years ago
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    14 + n = 2(4)

  89. anonymous
    • 5 years ago
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    Sorry

  90. anonymous
    • 5 years ago
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    Almost!

  91. anonymous
    • 5 years ago
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    was i close

  92. anonymous
    • 5 years ago
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    The left side is right, the right side is not.

  93. anonymous
    • 5 years ago
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    Try my last version, but break it down a bit. If x is my number what is 4 times my number??

  94. anonymous
    • 5 years ago
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    14 + n = 5(4 + n) oh please be right

  95. anonymous
    • 5 years ago
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    You're doing great btw. It's important to have patience when working through this.

  96. anonymous
    • 5 years ago
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    No, that's not right still. Lets work through it a little at a time.

  97. anonymous
    • 5 years ago
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    What is 4 times my number?

  98. anonymous
    • 5 years ago
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    your number is 14 right

  99. anonymous
    • 5 years ago
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    no

  100. anonymous
    • 5 years ago
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    my number is x

  101. anonymous
    • 5 years ago
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    ok am gonna shoot here is it 14x be gentel

  102. anonymous
    • 5 years ago
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    lets do something really quick cause it seems like we have a breakdown when you try to use letters instead of numbers. If I tell you my number is 22, and I ask what is 2 times my number what would you do?

  103. anonymous
    • 5 years ago
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    2(22)=44

  104. anonymous
    • 5 years ago
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    Awsome!

  105. anonymous
    • 5 years ago
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    That's perfect

  106. anonymous
    • 5 years ago
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    Now if I tell you my number is k and I ask you what's 4 times my number what would you do?

  107. anonymous
    • 5 years ago
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    yeah me finally

  108. anonymous
    • 5 years ago
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    4(k)

  109. anonymous
    • 5 years ago
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    yep!

  110. anonymous
    • 5 years ago
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    And if I tell you my number is b and I ask what is 5 more than (4 times my number)?

  111. anonymous
    • 5 years ago
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    You taking a long time, so I know something is wrong ;p

  112. anonymous
    • 5 years ago
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    If I tell you my number is 3 and I ask what is 5 more than my number?

  113. anonymous
    • 5 years ago
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    oh help me okay it would 20(b) or 5(b)=20

  114. anonymous
    • 5 years ago
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    neither.

  115. anonymous
    • 5 years ago
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    darn it

  116. anonymous
    • 5 years ago
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    it's just a little language barrier. We'll fix it

  117. anonymous
    • 5 years ago
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    If I tell you my number is 3 and I ask what is 5 more than my number what would you do?

  118. anonymous
    • 5 years ago
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    am trying not to think of the words

  119. anonymous
    • 5 years ago
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    the words are important.

  120. anonymous
    • 5 years ago
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    3(5)=15

  121. anonymous
    • 5 years ago
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    15 is 3 more than 5?

  122. anonymous
    • 5 years ago
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    Or 5 more than 3?

  123. anonymous
    • 5 years ago
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    What is 5 more than 3?

  124. anonymous
    • 5 years ago
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    8

  125. anonymous
    • 5 years ago
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    5 + 3

  126. anonymous
    • 5 years ago
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    am adding here

  127. anonymous
    • 5 years ago
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    5 + 3 means 5 more than 3

  128. anonymous
    • 5 years ago
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    gosh i feel stupid now

  129. anonymous
    • 5 years ago
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    It's ok. Just a little gap in your knowledge.

  130. anonymous
    • 5 years ago
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    so am mixing up more with multiplying

  131. anonymous
    • 5 years ago
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    a huge gap

  132. anonymous
    • 5 years ago
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    Right. If I say 4 times my number is 4k Then what is 5 more than 4 times my number?

  133. anonymous
    • 5 years ago
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    ok let me solve it

  134. anonymous
    • 5 years ago
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    Don't have to solve, just have to translate.

  135. anonymous
    • 5 years ago
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    4k +9

  136. anonymous
    • 5 years ago
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    So close!

  137. anonymous
    • 5 years ago
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    oops i left off the 4

  138. anonymous
    • 5 years ago
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    No.

  139. anonymous
    • 5 years ago
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    Ok, my number is k. What is 4 times my number?

  140. anonymous
    • 5 years ago
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    4(k)=4k

  141. anonymous
    • 5 years ago
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    Ok, and what is 5 more than 4 times my number?

  142. anonymous
    • 5 years ago
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    You already solved half of this just a minute ago.

  143. anonymous
    • 5 years ago
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    9(n)

  144. anonymous
    • 5 years ago
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    holding my breath

  145. anonymous
    • 5 years ago
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    No. it's 5 + 4k 5 more than four times my number

  146. anonymous
    • 5 years ago
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    5 + 4k

  147. anonymous
    • 5 years ago
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    5 more means +5

  148. anonymous
    • 5 years ago
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    am trying too hard

  149. anonymous
    • 5 years ago
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    yes

  150. anonymous
    • 5 years ago
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    Ok, but now you know.

  151. anonymous
    • 5 years ago
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    okay so i don't add 5 and 4 just 5+ 4k

  152. anonymous
    • 5 years ago
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    right

  153. anonymous
    • 5 years ago
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    these are the steps. -17-x=-6x-2 6x-x=17-2 5x=15 x=3

  154. anonymous
    • 5 years ago
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    While I'm sure doing her work is appreciated it's not going to help her on the next problem.

  155. anonymous
    • 5 years ago
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    awe man

  156. anonymous
    • 5 years ago
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    thats true

  157. anonymous
    • 5 years ago
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    thanks pat18

  158. anonymous
    • 5 years ago
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    One sec Bella. This thread is lagging up a bit. Lets start a new question with the next one?

  159. anonymous
    • 5 years ago
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    okay

  160. anonymous
    • 5 years ago
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    brb

  161. anonymous
    • 5 years ago
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    you are welcome.

  162. anonymous
    • 5 years ago
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    okay am back polPak

  163. anonymous
    • 5 years ago
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    Can you make a new questiON?

  164. anonymous
    • 5 years ago
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    err question?

  165. anonymous
    • 5 years ago
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    okay

  166. anonymous
    • 5 years ago
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    what is 6 times my number a and 8 more times 4

  167. anonymous
    • 5 years ago
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    Oh, sorry I think you misunderstand. I am going to make a new problem on the left side. Please go there

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spraguer (Moderator)
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