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21 September, 04:23

X+2y=7

3x-2y=-3 solving systems by substitution

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  1. 21 September, 08:06
    0
    Move 2y to the right hand side of the equation by subtracting 2y from both sides.

    x=-2y+7

    3x-2y=-3

    Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is - 2y+7.

    x=-2y+7

    3 (-2y+7) - 2y=-3

    Simplify each term.

    x=-2y+7

    -6y+21-2y=-3

    Add - 6y and - 2y to get - 8y.

    x=-2y+7

    -8y+21=-3

    Move 21 to the right hand side of the equation.

    x=-2y+7

    -8y=-21-3

    Subtract 3 from - 21 to get - 24.

    x=-2y+7

    -8y=-24

    Divide each term in the equation by - 8.

    x=-2y+7

    y=3

    Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3.

    x=-2 (3) + 7

    y=3

    Multiply - 2 by 3 to get - 6.

    x=-6+7

    y = 3

    Add - 6 and 7 to get 1.

    x=1

    y=3

    (1,3)
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