solve the system of equations 3x-y=-27 and 4x+2y=-6 by combining the equations

Question

solve the system of equations 3x-y=-27 and 4x+2y=-6 by combining the equations

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Alexandra 5 days 2021-09-12T05:30:15+00:00 1 Answer 0

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    2021-09-12T05:31:59+00:00

    Answer:

    (-6, 9) is the solution set for given system.

    Step-by-step explanation:

    Given that:

    3x-y=-27 ———– eq1

    4x+2y=-6 ——— eq2

    Solving by combining the equations:

    Dividing eq2 by 2 we get:

    2x + y = -3 ——- eq3

    Now add eq1 and eq3, we get:

    5x = -30      (y from both equations will be cancelled out)

    Dividing both sides by 5:

    x = -6

    Now putting value of x back in eq3:

    2(-6) + y = -3

    -12 + y = -3

    Adding 12 on both sides:

    y = -3 + 12

    y = 9

    So the solution set for given system is (-6, 9)

    i hope it will help you!

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