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29 August, 22:40

Solve the linear equations 4x-3y=16 and x+y=-3

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  1. 30 August, 02:02
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    4x - 3y = 16

    x + y = - 3

    Subtract y from both sides of the 2nd equation.

    x = - 3 - y

    Now that we have a value of x, we can plug it into the first equation to solve for y.

    4 (-3 - y) - 3y = 16

    Distributive property.

    -12 - 4y - 3y = 16

    Combine like terms.

    -12 - 7y = 16

    Add 12 to both sides.

    -7y = 28

    Divide both sides by - 7.

    y = - 4

    The value of y is - 4, and now we can solve for the value of x.

    Plug this value into either equation.

    x + (-4) = - 3

    Add 4 to both sides.

    x = 1

    The value of x is 1.

    x = 1y = - 4
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