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22 February, 16:20

4x-2y = - 2

3x+2y = - 12

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Answers (1)
  1. 22 February, 19:39
    0
    x=-2

    y=-3

    Step-by-step explanation:

    4x-2y = - 2

    3x+2y = - 12

    This is a simultaneous equation, which can be solved using either the elimination method or the substitution method. But for the purpose of this question, we would be using the elimination method.

    4x-2y = - 2 Equation 1

    3x+2y = - 12 Equation 2

    Since, y in both equations has the same coefficient, we can easily eliminate it by adding both equations together.

    4x+3x=7x

    -2y + (+2y) = - 2y+2y=0

    -2 + (-12) = -2-12=-14

    We now have

    7x=-14

    x=-14/7

    x=-2

    We substitute x with - 2 in any of the equations to get y. Let's take equation 2

    3x+2y = - 12

    3 (-2) + 2y=-12

    -6+2y=-12

    2y=-12+6

    2y=-6

    y=-6/2

    y=-3
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