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11 September, 07:18

4x+5y=-13; 5x-2y=-8 solve elimination method

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  1. 11 September, 07:36
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    4x + 5y = - 13

    2 (4x + 5y) = 2 (-13)

    8x + 10y = - 26 (equation 1)

    5x - 2y = - 8

    5 (5x - 2y) = 5 (-8)

    25x - 10y = - 40 (equation 2)

    equation 1 + equation 2,

    (8x + 10y) + (25x - 10y) = (-26) + (-40)

    8x + 10y + 25x - 10y = - 26 + - 40

    33x = - 66

    x = - 2

    substitute x = - 2 into equation 1,

    8x + 10y = - 26

    8 (-2) + 10y = - 26

    -16 + 10y = - 26

    10y = - 10

    y = - 1

    The values of x and y are - 2 and - 1 respectively.
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