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mckenzieandjesus

  • one year ago

Solve the system using elimination. 3x – y = 28 3x + y = 14

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  1. mckenzieandjesus
    • one year ago
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    (8, –4) (–7, 7) (7, –7) (–4, 8)

  2. Vocaloid
    • one year ago
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    hint: add the two equations together

  3. Vocaloid
    • one year ago
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    start with the x's 3x + 3x = ?

  4. mckenzieandjesus
    • one year ago
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    3+3=6 28+14=42

  5. Vocaloid
    • one year ago
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    almost 3 + 3 = 6 3x + 3x = ___ fill in the blank

  6. mckenzieandjesus
    • one year ago
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    6x?

  7. Vocaloid
    • one year ago
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    good! now go to the y's -y + y = ?

  8. mckenzieandjesus
    • one year ago
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    0?

  9. Vocaloid
    • one year ago
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    good! now we have 6x = 42 x = ___ fill in the blank

  10. mckenzieandjesus
    • one year ago
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    do i add those together?

  11. Vocaloid
    • one year ago
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    nope, just find x

  12. Vocaloid
    • one year ago
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    6x = 42 what does x = ?

  13. mckenzieandjesus
    • one year ago
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    7

  14. Vocaloid
    • one year ago
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    good! x = 7, so we look for the answer choice with an x-coordinate of 7 the only possibility is (7,-7)

  15. mckenzieandjesus
    • one year ago
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    yeah

  16. mckenzieandjesus
    • one year ago
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    can u help me with -5x+y=-5 -4x+2y=2

  17. Vocaloid
    • one year ago
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    hint: multiply the first equation by 2 first

  18. mckenzieandjesus
    • one year ago
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    ok 10

  19. Vocaloid
    • one year ago
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    nope -5x*2 = ?

  20. mckenzieandjesus
    • one year ago
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    -10?

  21. Vocaloid
    • one year ago
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    don't forget the x

  22. Vocaloid
    • one year ago
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    ok, the way I wrote it was a bit vague, but I meant (-5)*(2)*x = ?

  23. mckenzieandjesus
    • one year ago
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    -10x

  24. mckenzieandjesus
    • one year ago
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    what do I do next?

  25. Vocaloid
    • one year ago
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    2*y = ?

  26. mckenzieandjesus
    • one year ago
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    whats y?

  27. texaschic101
    • one year ago
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    -5x + y = -5 ----multiply by -2 -4x + 2y = 2 ------------ 10x - 2y = 10 (result of multiplying by -2) -4x + 2y = 2 ------------add 6x = 12 -- divide by 6 on both sides x = 2 now sub 2 in for x in one of the original equations and find y. questions ?

  28. mckenzieandjesus
    • one year ago
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    -6?

  29. mckenzieandjesus
    • one year ago
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    -4*2+2=-6

  30. texaschic101
    • one year ago
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    -5x + y = -5 -5(2) + y = -5 -10 + y = -5 y = -5 + 10 y = 5 check... -4x + 2y = 2 -4(2) + 2(5) = 2 -8 + 10 = 2 2 = 2 (correct) so x = 2 and y = 5

  31. mckenzieandjesus
    • one year ago
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    someone told me 2,5 wasnt the right answer..

  32. texaschic101
    • one year ago
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    plug it into the original equations to check... -4x + 2y = 2 -5x + y = -5 -4(2) + 2(5) = 2 -5(2) + 5 = -5 -8 + 10 = 2 -10 + 5 = -5 2 = 2 (correct) 5 = 5 (correct) (2,5) is the solution because it checks out in both equations as correct

  33. mckenzieandjesus
    • one year ago
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    Thank You

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