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mlbach

  • 2 years ago

13x=7x+5

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  1. PhoenixFire
    • 2 years ago
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    Solve for x?

  2. mlbach
    • 2 years ago
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    yes, i dont even know where to start!!!!

  3. zzr0ck3r
    • 2 years ago
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    subtract 7x from both sides and tell me what you got

  4. rainbow22
    • 2 years ago
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    5/6

  5. rainbow22
    • 2 years ago
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    =x

  6. zzr0ck3r
    • 2 years ago
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    @rainbow dont just give answers. Please read rules.

  7. PhoenixFire
    • 2 years ago
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    \[13x=7x+5\] Subtract 7x from both sides. \[13x-7x=7x-7x+5\] Combine like terms \[6x=5\] Divide both sides by 6 \[x={5 \over 6}\]

  8. zzr0ck3r
    • 2 years ago
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    we are not saposed to give them the answers, you should involve them in getting the answer...

  9. PhoenixFire
    • 2 years ago
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    Sorry @zzr0ck3r I'll remember for next time.

  10. mlbach
    • 2 years ago
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    AHHHHH..Thank you so much Phoenixfire for explaining!!!

  11. mlbach
    • 2 years ago
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    X-2/5=1/2

  12. mlbach
    • 2 years ago
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    how would i start this one?

  13. PhoenixFire
    • 2 years ago
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    Add 2/5 to both sides. What do you get?

  14. mlbach
    • 2 years ago
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    im horrible at this!!! add 2/5 to 2/5 and 1/2?

  15. PhoenixFire
    • 2 years ago
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    Yes. type out the entire equation with 2/5 added to both sides.

  16. PhoenixFire
    • 2 years ago
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    @mlbach Did you get it?

  17. mlbach
    • 2 years ago
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    no, im sorry, trying to do it on paper

  18. mlbach
    • 2 years ago
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    im 38 and math is like a foreign language to me!

  19. PhoenixFire
    • 2 years ago
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    You have \[x-{2 \over 5}={1 \over 2}\] So, add 2/5. You get: \[x-{2 \over 5}+{2 \over 5}={1 \over 2}+{2 \over 5}\] Try solve from there.

  20. mlbach
    • 2 years ago
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    x-4/5=9/10

  21. mlbach
    • 2 years ago
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    is that right...9/10

  22. PhoenixFire
    • 2 years ago
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    You can see that the -2/5+2/5 results in 0. \[x-0={1 \over 2}+{2 \over 5}\] But you got the right hand side correct.

  23. mlbach
    • 2 years ago
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    ok, they cancel each other out right?

  24. PhoenixFire
    • 2 years ago
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    Correct! So, \[x={9 \over 10}\]

  25. mlbach
    • 2 years ago
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    YAY!!!!! thank you!!!

  26. PhoenixFire
    • 2 years ago
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    No problem. :) Any other problems?

  27. mlbach
    • 2 years ago
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    2/7X=6

  28. PhoenixFire
    • 2 years ago
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    \[{2 \over 7}x=6\] Divide both sides by 2/7. The one the left will cancel and then you're left with x=??

  29. mlbach
    • 2 years ago
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    how do i know that im dividing?

  30. PhoenixFire
    • 2 years ago
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    \[{2 \over 7}x=6\] Divide by 2/7\[{{{2 \over 7}x} \over {2 \over 7}}={6 \over {2 \over 7}}\]

  31. PhoenixFire
    • 2 years ago
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    \[{{2 \over 7} \over {2 \over 7}}=1\] Do you understand that? Anything divided by itself is 1.

  32. mlbach
    • 2 years ago
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    yes

  33. mlbach
    • 2 years ago
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    i just dont know how to do 6 divided by 2/7

  34. PhoenixFire
    • 2 years ago
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    So, that leave \[1x={6 \over {2 \over 7}}\] Now, a trick is to dividing by fractions: \[{a \over {b \over c}}={{c \over b}a}\] You flip the bottom fraction and multiply the top by it. Giving you: \[{6 \over {2 \over 7}}={7 \over 2}6\] Or \[{7*6} \over 2\]

  35. PhoenixFire
    • 2 years ago
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    Sorry about the bad grammar.. That was truly horrible.

  36. mlbach
    • 2 years ago
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    21?

  37. PhoenixFire
    • 2 years ago
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    Yes! \[x=21\]

  38. mlbach
    • 2 years ago
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    can i just put you in my pocket and and take you to class with me?

  39. PhoenixFire
    • 2 years ago
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    Hahaha. Yes, if you have a cell phone and internet on it. :)

  40. mlbach
    • 2 years ago
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    lol

  41. mlbach
    • 2 years ago
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    A telephone book has white pages and yellow pages. ¾ of the book consists of the white pages; the yellow pages number 300. What is the total number of pages in the telephone book?

  42. mlbach
    • 2 years ago
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    how would i start this one

  43. PhoenixFire
    • 2 years ago
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    White=3/4 of the book Yellow=1/4 of the book. So, if 1/4 of the book is 300. How many total pages are there?

  44. mlbach
    • 2 years ago
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    900

  45. PhoenixFire
    • 2 years ago
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    Almost. Y=yellow=1/4=300 W=white=3/4=300*3 T=total=W+Y=(300*3)+300=1200

  46. mlbach
    • 2 years ago
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    ah. i got it

  47. mlbach
    • 2 years ago
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    A theater usher at a Broadway musical finds that ½ of the patrons attending a performance are in their seats by show time. The remaining 60 people are seated after the opening number. If the show is always a complete sellout, how many seats does the theater have?

  48. PhoenixFire
    • 2 years ago
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    This one is mostly a play on words. If you single out a few words: "1/2", "remaining", "sellout" From this you can see that "sellout" says all seats are taken. "remaining" means those not seated initially. "1/2" the initial people seated. So, if "half" of the attendees are seated before the show, and the "remaining" are seated after the first number. How many seats are there in the theater which is "sold out (ie all seats taken)"?

  49. PhoenixFire
    • 2 years ago
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    *** "remaining 60" ***

  50. mlbach
    • 2 years ago
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    120?

  51. PhoenixFire
    • 2 years ago
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    Correct!

  52. mlbach
    • 2 years ago
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    YAY!!!! lol

  53. PhoenixFire
    • 2 years ago
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    Getting the hang of it?

  54. mlbach
    • 2 years ago
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    right now i am, but come test time, I'll draw a blank!

  55. mlbach
    • 2 years ago
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    Of those invited to a wedding, 2/7 were friends of the bride. The friends of the groom numbered 65. How many people were invited to the wedding

  56. PhoenixFire
    • 2 years ago
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    Haha. Of course. Nobody can avoid the blank come test time.

  57. mlbach
    • 2 years ago
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    unfortunatley not!

  58. mlbach
    • 2 years ago
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    what do i look at first?

  59. PhoenixFire
    • 2 years ago
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    bride=2/7 Therefore, groom=5/7=65 You can take this known number as a percentile of the total attendees. \[{5 \over 7}T=65\] Where T= the total number of people attending. Now solve for T.

  60. mlbach
    • 2 years ago
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    where did you get 5/7 from?

  61. PhoenixFire
    • 2 years ago
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    Well if the brides guests are 2/7 of the attending people. then the grooms is the remaining guests. Correct? so 1-2/7 = 5/7

  62. mlbach
    • 2 years ago
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    oh ok

  63. PhoenixFire
    • 2 years ago
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    To solve for T you use the same method as one of the other problems above. The funny trick with dividing by fractions.

  64. PhoenixFire
    • 2 years ago
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    Got it yet?

  65. mlbach
    • 2 years ago
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    not quite

  66. PhoenixFire
    • 2 years ago
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    What are you stuck on?

  67. mlbach
    • 2 years ago
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    5/7T=65....i get stuck on how to work the problem out

  68. PhoenixFire
    • 2 years ago
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    Well you want to isolate T. Because that's the unknown variable that you want to become known. So in this case, the only way to do that is to remove the 5/7 from T. You will want to divide by 5/7 to make it cancel out, leaving T alone on the left.

  69. mlbach
    • 2 years ago
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    so do i divide both sidesby 5/7?

  70. mlbach
    • 2 years ago
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    answer is 91?

  71. PhoenixFire
    • 2 years ago
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    Yes. Because if you change the equation on the left, you have to change it in the same way on the right for the equality to hold. 91 is correct!

  72. mlbach
    • 2 years ago
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    awesome!!!!

  73. mlbach
    • 2 years ago
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    thank you so much for your help, I appreciate it!

  74. PhoenixFire
    • 2 years ago
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    No problem at all. Become a fan of me, and if you need help just send me a message.

  75. mlbach
    • 2 years ago
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    Done!

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