Question

47x+31y=63
31x+47y=15

Answer 1

Answer: x = 2 & y = (-1)

Mentioning the given equations as (i) & (ii) respectively.

Adding (i) & (ii);

78x+78y = 78

x+y = 1 → (iii)

Subtracting (i) & (ii) we get,

16x-16y = 48

x-y = 3 → (iv)

Adding (iii) & (iv) we get,

2x = 4; therefore x=2

Subtracting (iii) & (iv) we get,

2y = -2; therefore y = -1