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anonymous

  • one year ago

What is the solution to the system? Line 1 x y –1 9 3 –3 Line 2 x y –1 –1 2 5 ( _ , _ )

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  1. anonymous
    • one year ago
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    use the equation of a line formula y=mx+b

  2. anonymous
    • one year ago
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    where m is the slope and b is the y-intercept

  3. anonymous
    • one year ago
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    find the equation for the first line

  4. anonymous
    • one year ago
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    Ok. I'm working on it

  5. anonymous
    • one year ago
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    @10115658 Y= -3x + 9

  6. anonymous
    • one year ago
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    @10115658 Thank you. I think I have figured it out.

  7. anonymous
    • one year ago
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    sorry, i was afk. give me a sec

  8. anonymous
    • one year ago
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    ok

  9. anonymous
    • one year ago
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    I got y=-3x+6

  10. anonymous
    • one year ago
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    How did you get the 6?

  11. anonymous
    • one year ago
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    y=-3x+b plug in a point and solve for b

  12. anonymous
    • one year ago
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    9=-3(-1)+b

  13. anonymous
    • one year ago
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    9=3+b b=6

  14. anonymous
    • one year ago
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    I'm confused

  15. anonymous
    • one year ago
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    I think I got it, b/c I lost you for a sec

  16. anonymous
    • one year ago
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    ok, tell me what your answer is and i'll see what i get

  17. anonymous
    • one year ago
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    ok, I figured it out

  18. anonymous
    • one year ago
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    I'm trying to solve still.

  19. anonymous
    • one year ago
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    I think it's 3. What do you think it is?

  20. anonymous
    • one year ago
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    what is 3?

  21. anonymous
    • one year ago
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    x

  22. anonymous
    • one year ago
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    you should get a point x,y

  23. anonymous
    • one year ago
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    thats not what i got for x

  24. anonymous
    • one year ago
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    I'll try again with a point.

  25. anonymous
    • one year ago
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    Do you want me to show you how i got to my answer?

  26. anonymous
    • one year ago
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    Yes please

  27. anonymous
    • one year ago
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    ok, so i found the equation for the first line as y=-3x+6, which i showed you previously

  28. anonymous
    • one year ago
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    Yeah

  29. anonymous
    • one year ago
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    the equation for the second line is y=2x+1, using the same method as the equation for the first line

  30. anonymous
    • one year ago
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    now we need to find what x and y are

  31. anonymous
    • one year ago
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    so we replace y in the first equation with 2x+1 and solve for x

  32. anonymous
    • one year ago
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    2x+1=-3x+6

  33. anonymous
    • one year ago
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    Ok I was trying to figure out x and y too.

  34. anonymous
    • one year ago
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    solving for x i got x=1

  35. anonymous
    • one year ago
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    Then replace x with 1 in one of the equations to find y

  36. anonymous
    • one year ago
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    y=2(1)+1

  37. anonymous
    • one year ago
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    y=3

  38. anonymous
    • one year ago
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    so the point is (1,3)

  39. anonymous
    • one year ago
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    Do you agree with the answer?

  40. anonymous
    • one year ago
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    Ok, but wouldn't be 9 though,b/c of the y-intercept.

  41. anonymous
    • one year ago
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    B I mean

  42. anonymous
    • one year ago
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    what do you mean? are you talking about the equation for the first line?

  43. anonymous
    • one year ago
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    Yes

  44. anonymous
    • one year ago
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    ok, theres an easy way to see if the equation is correct or not

  45. anonymous
    • one year ago
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    so you think the equation is y=-3x+9 correct?

  46. anonymous
    • one year ago
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    Yeah

  47. anonymous
    • one year ago
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    ok, so you plug in a point and see if both sides of the equation are equal

  48. anonymous
    • one year ago
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    lets plug in -1,9

  49. anonymous
    • one year ago
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    Ok

  50. anonymous
    • one year ago
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    9=-3(-1)+9

  51. anonymous
    • one year ago
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    does 3(-1)+9 equal 9?

  52. anonymous
    • one year ago
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    Not equal

  53. anonymous
    • one year ago
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    so that equation is incorrect lets try my equation

  54. anonymous
    • one year ago
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    9=-3(-1)+6

  55. anonymous
    • one year ago
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    Yeah lets try it

  56. anonymous
    • one year ago
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    9=9 so the equation works

  57. anonymous
    • one year ago
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    Yeah the equation works

  58. anonymous
    • one year ago
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    so you understand now?

  59. anonymous
    • one year ago
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    Yes thank you for helping me. I gave you a medal and became a fan.

  60. anonymous
    • one year ago
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    https://www.wolframalpha.com/input/?i=y%3D-3x%2B6+%2C+y%3D2x%2B1

  61. anonymous
    • one year ago
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    thats a nice visual representation

  62. anonymous
    • one year ago
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    It is. It helped.

  63. anonymous
    • one year ago
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    cool

  64. anonymous
    • one year ago
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    Yeah thanks. I appreciate it.

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