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30 September, 14:23

Solve the following system of equations by using the elimination method. - 2x + 9y = - 13 6x - 3y = 15

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  1. 30 September, 16:59
    0
    -2x + 9y = - 13

    3 (6x - 3y = 15)

    18x - 9y=45

    -2x + 9y = - 13

    + 18x - 9y=45

    16x=32

    16x/16=32/16

    x=2

    6x - 3y = 15

    6 (2) - 3y = 15

    12-3y=15

    12-12-3y=15-12

    -3y = 3

    -3y/-3=3/-3

    y=-1

    Check

    6x - 3y = 15

    6 (2) - 3 (-1) = 15

    12 + 3 = 15

    15 = 15
  2. 30 September, 18:07
    0
    -2x + 9y = - 13

    (6x - 3y = 15)

    16x = 32

    x = 2, and then plug x = 2 back into either equation, I will plug it into the first equation, so:

    -2 (2) + 9y = - 13 - - > 9y = - 9 - - > y = - 1, so the ordered pair is ... (2, - 1)
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