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7 January, 06:57

Find the values of a and b so that the solution of the linear system is (5,2)

ax+by=23

ax-by=7

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  1. 7 January, 07:22
    0
    5*a+2*b=23

    5*a-2*b=7:

    a = (23-2b) / 5

    b = (7+5a) / 2:

    a = (23-2 * (7+5a) / 2) / 5

    5a=23-7-5a

    5a+5a=23

    a=23/10

    b = (7+5*23/10) / 2

    b = (7+23/2) / 2 = (37/2) / 2=37
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