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anonymous

  • 5 years ago

i need help solving this system by graphing??

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  1. anonymous
    • 5 years ago
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    \[\left\{ 2x+y=-7 \right\}\]

  2. amistre64
    • 5 years ago
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    how do we graph in a text based area?

  3. amistre64
    • 5 years ago
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    the best we can do is set up a table of solutions

  4. anonymous
    • 5 years ago
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    \[\left\{ -3x-2y=14 \right\}\]

  5. amistre64
    • 5 years ago
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    substitution works pretty well in this scenario: can you solve the first equation for y?

  6. anonymous
    • 5 years ago
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    yes

  7. anonymous
    • 5 years ago
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    so, i subtract the 2y

  8. amistre64
    • 5 years ago
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    -2x yes

  9. anonymous
    • 5 years ago
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    ok

  10. anonymous
    • 5 years ago
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    so i get

  11. amistre64
    • 5 years ago
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    y = -7-2x; lets use this 'value' in the next equation

  12. anonymous
    • 5 years ago
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    y=-2x-7

  13. amistre64
    • 5 years ago
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    that ways good too ;)

  14. anonymous
    • 5 years ago
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    doesnt the -2x come before because it has an x

  15. amistre64
    • 5 years ago
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    it doesnt need to, but if you like it there; we can keep it there... it gets used up in the next one regardless

  16. anonymous
    • 5 years ago
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    ok

  17. amistre64
    • 5 years ago
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    -3x -2y = 14 - lets use that y value in this equation and solve for 'x'

  18. anonymous
    • 5 years ago
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    and for the other one i subtract the -3x

  19. anonymous
    • 5 years ago
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    To solve by graphing just means, draw the two lines and see where (if ever) they intersect.

  20. amistre64
    • 5 years ago
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    lets keep the other one as is and use out y value in it

  21. amistre64
    • 5 years ago
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    -3x -2y = 14 -3x -2(-2x-7) = 14 can you slove this ?

  22. anonymous
    • 5 years ago
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    yes\

  23. amistre64
    • 5 years ago
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    let me see you do it ;)

  24. anonymous
    • 5 years ago
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    ok

  25. anonymous
    • 5 years ago
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    ohh wait i dnt think i can solve this because it has two # before the paratheses

  26. amistre64
    • 5 years ago
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    -3x -2(-2x-7) = 14 -3x +4x +14 = 14 -3x +4x +14-14 = 14-14 -3x +4x +0 = 0 the two numbers are seperate terms, they dont interfere with each other

  27. anonymous
    • 5 years ago
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    oh ok

  28. amistre64
    • 5 years ago
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    -3x +4x = 0 it just takes a little bit to be able to 'see' the problem :) x = 0 this is our solution

  29. anonymous
    • 5 years ago
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    wait how did u get the x to = 0

  30. amistre64
    • 5 years ago
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    First step; plug in the value for y -3 -2(-2x-7)= 14 ; now distribute the -2 thru the paranthesis

  31. amistre64
    • 5 years ago
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    -3x +4x +14 = 14 do you see what i did there?

  32. anonymous
    • 5 years ago
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    you did distributive property

  33. amistre64
    • 5 years ago
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    yes, and since that was (-2) I used it in the process

  34. amistre64
    • 5 years ago
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    -3x +4x +14 = 14 ; now we subtract 14 from both sides -3x +4x +14-14 = 14-14

  35. anonymous
    • 5 years ago
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    and got 0

  36. amistre64
    • 5 years ago
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    correct; -3x +4x = 0 x = 0

  37. anonymous
    • 5 years ago
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    but dnt we have to get the values bythemselfs first

  38. amistre64
    • 5 years ago
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    by themselves? what are you refering to?

  39. anonymous
    • 5 years ago
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    like -3x-4x=0

  40. anonymous
    • 5 years ago
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    subtract then divide

  41. amistre64
    • 5 years ago
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    -3x+4x = 0 combine like terms -3x+4x = 1x right?

  42. anonymous
    • 5 years ago
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    yes

  43. anonymous
    • 5 years ago
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    then divide

  44. amistre64
    • 5 years ago
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    yes, we do divide by 1 if we need to :) then 1x = 0 ....x = 0

  45. anonymous
    • 5 years ago
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    oh ok

  46. anonymous
    • 5 years ago
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    in my multiple choices i do not have any one that has x=0

  47. anonymous
    • 5 years ago
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    they all start with 4 or -4

  48. anonymous
    • 5 years ago
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    and y has 1 or -1

  49. amistre64
    • 5 years ago
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    we use 0 to find the value of y now and your choices are going to be (0,y)

  50. anonymous
    • 5 years ago
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    but there is no choice for that with 0.

  51. amistre64
    • 5 years ago
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    remember we found that y = -2x-7 right?

  52. anonymous
    • 5 years ago
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    yes

  53. amistre64
    • 5 years ago
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    unless you gave me the wrong equation information, this is what the answer needs to be :)

  54. anonymous
    • 5 years ago
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    no its all correct

  55. amistre64
    • 5 years ago
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    y = -2(0) - 7 y = -7

  56. anonymous
    • 5 years ago
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    its jst that they are on top of eachother .

  57. amistre64
    • 5 years ago
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    lets see if these answers work; -3(0)-2(-7)=14 0+14=14

  58. anonymous
    • 5 years ago
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    14=14

  59. amistre64
    • 5 years ago
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    2x+y = -7 2(0) + -7 = -7 0 +-7 = -7 -7=-7

  60. anonymous
    • 5 years ago
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    correct.

  61. amistre64
    • 5 years ago
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    so we have the correct solution; but what are your answer to choose from look like?

  62. anonymous
    • 5 years ago
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    (-4,-1) (4,1) (-4,1) (4,-1)

  63. amistre64
    • 5 years ago
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    ....... then either those go to a different problem; or they are simply wrong :)

  64. anonymous
    • 5 years ago
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    i think they are wrong but idk.

  65. amistre64
    • 5 years ago
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    there can only be one solution to lines that cross; it is the point we found (0,-7)

  66. anonymous
    • 5 years ago
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    the problem is correct

  67. anonymous
    • 5 years ago
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    ok well thanks.:)

  68. amistre64
    • 5 years ago
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    if you ahve a teacher, bring it to their attention :)

  69. anonymous
    • 5 years ago
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    yes i will do that

  70. amistre64
    • 5 years ago
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    tag!!

  71. anonymous
    • 5 years ago
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    Stop that.

  72. amistre64
    • 5 years ago
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    lol tag

  73. anonymous
    • 5 years ago
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    Really really annoying.

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