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17 September, 21:56

Solve the simultaneous equations

4x+3y=19 5x-4y=47

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  1. 17 September, 23:51
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    4x + 3y = 19 multiply this by 4

    5x - 4y = 47 multiply this by 3:-

    16x + 12y = 76 ... (1)

    15x - 12y = 141 ... (2)

    Add (1) + (2); -

    31x = 217

    x = 7

    Now plug = 7 into the first equation:-

    4 (7) + 3y = 19

    3y = 19 - 28 = - 9

    t = - 3

    Solution is x = 7, y = - 3.
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