Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9

Question

Arrange the steps to solve this system of linear equations in the correct sequence.

x + y = -2

2x – 3y = -9

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Sophia 2 weeks 2021-10-01T12:56:36+00:00 1 Answer 0

Answers ( )

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    2021-10-01T12:58:11+00:00

    Answer:

    x=-3

    y=1

    Step-by-step explanation:

    x+y=-2…(1)

    2x-3y=-9…(2)

    In equation (1) make x the subject of formula by subtracting y from both sides

    x=-2-y…(3)

    Substitute (3) into (2)

    2(-2-y)-3y=-9

    Open the bracket

    -4-2y-3y=-9

    Collect like terms

    -2y-3y=-9+4

    -5y=-5

    Divide both sides by-5

    y=1

    Substitute y=1 into(3)

    x=-2-1

    x=-3

    Therefore,x=-3,y=1

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