Question

Solve:
217x+131y=913
131x+217y=827

Answer 1

From Ist equation we get,

x=(913-131y)/217

Substituting x in 2nd equation we get,131{913-131y)/217} + 217y =827

(119603-17161y)/217 +217 y =827

Taking LCM,

119603-17161y+47089y = 827*217

119603+29928y = 179459

29928y=179459-119603

29928y = 59856

y=59856/29928

y=2

Putting y=2 in 1st equation,we get

217x +262=913

217x = 913-262

217x = 651

x = 651/217

x = 3

Therefore, x=3 and y=2