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9 July, 05:48

What is x+y=7 and x-y=-3 using the elimination method

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  1. 9 July, 09:42
    0
    x = 2

    y = 5

    Explanation:

    x + y = 7; x - y = - 3

    Solve x+y=7 for x

    x+y=7

    x+y+-y=7+-y (Add - y to both sides)

    x=-y+7

    Step: Substitute-y+7 for x in x-y=-3:

    x-y=-3

    -y+7-y=-3

    -2y+7=-3 (Simplify both sides of the equation)

    -2y+7+-7=-3+-7 (Add - 7 to both sides)

    -2y=-10

    -2y/-2 = - 10/-2

    (Divide both sides by - 2)

    y=5

    Step: Substitute 5 for y in x=-y+7:

    x=-y+7

    x=-5+7

    x=2 (Simplify both sides of the equation)
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