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17 April, 05:48

9. [3x - 4y=-14

3x+2y=-2

How do I solve this

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Answers (2)
  1. 17 April, 06:58
    0
    x = - 2

    y = 2

    (-2, 2)

    dominion mf
  2. 17 April, 08:25
    0
    x = - 2 and y = 2

    Step-by-step explanation:

    3x - 4y = - 14 (1)

    3x + 2y = - 2 (2)

    Since the coefficient of x in both equation are the same, then elimination method will be best method to solve the problem.

    This can be achieved as follows:

    Subtract equation (1) from (2), we have

    3x + 2y = - 2

    - 3x - 4y = - 14

    6y = 12

    Divide both side by the coefficient of y i. e 6

    y = 12/6

    y = 2

    Now, we can substitute the value y into any of the equation to get x. In this case, I will be making use of equation (2). You can verify by using equation (1)

    3x + 2y = - 2

    3x + 2 (2) = - 2

    3x + 4 = - 2

    Collect like terms

    3x = - 2 - 4

    3x = - 6

    Divide both side by the coefficient of x i. e 3

    x = - 6/3

    x = - 2

    Therefore x = - 2 and y = 2
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