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23 April, 10:05

47x + 31y = 63

31x + 47y = 15

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Answers (1)
  1. 23 April, 10:25
    0
    x = 2, y = - 1

    Step-by-step explanation:

    47x + 31y = 63 ... eqn 1

    31x + 47y = 15 ... eqn 2

    multiply eqn 1 by 47 to get eqn 3 and multiply eqn 2 by 31 to get eqn 4 ...

    => 2209x + 1457y = 2961 ... eqn 3

    => 961x + 1457y = 465 ... eqn 4

    subtract eqn 4 from eqn 3

    => 1248x = 2496

    => x = 2

    subst x = 2 in eqn 1

    => 94 + 31y = 63

    => 31y = - 31

    => y = - 1
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