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7 March, 13:34

Algebra

Solve these simultaneous questions via elimination method:

2x + 3y = 12

4x - 3y = 6

+2
Answers (2)
  1. 7 March, 13:41
    0
    2x + 3y = 12

    2*3 6 x = 3 because 2 times 3 equals 6y = 2 because 3 times 2 equals 6. 6+6=12.

    4 (3) - 3 (2) = 6 / / / / 12 6 = 6

    (I'm copy-pasting from the work I just did on another tab. I know the page would reload)
  2. 7 March, 14:00
    0
    (2x + 3y = 12) x (-2)

    (4x - 3y = 6) x 1

    -4x - 6y = - 24

    4x - 3y = 6

    You can cancel out the x values by adding the two equations together.

    (-4x + 4x) + (-6y - 3y) = (-24 + 6)

    -9y = - 18

    y = 2

    Solve for x now ...

    4x - 3 (2) = 6

    4x - 6 = 6

    4x = 12

    x = 3

    Check ... (x = 3, y = 2)

    2 (3) + 3 (2) = 12

    6 + 6 = 12

    12 = 12 < - this works!

    4 (3) - 3 (2) = 6

    12 - 6 = 6

    6 = 6 < - this works!
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