47 x + 31 y = 63
31 x + 47y = 15
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equation 1 - equation 2
47x+ 31y = 63 -
31x + 47y = 15
16x - 16y = 48
16(x-y) = 48
x-y = 3 ---- equation 3
in order to get y, multiply eq.3 with 47 ;
47x -47y = 141 ---equation4
now, eq1 - eq 4
47x+ 31y = 63 -
47x - 47y = 141
78y = -78
y = -1
putting y = -1 in eq3
x-y = 3
x - (-1) = 3
x+1 =3
x = 2
x=2, y = -1
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