Question

solve for x and y
$217x + 131y = 913$
$131x + 217y = 827$

Answer 1

Answer :

217 x + 131 y = 913 ....(1)

And

131 x + 217 y = 827 ......(2)

Now multiply by 217 in equation 1 and by 131 in equation 2 , We get

47089 x + 28427 y = 198121 ......(3)

And

17161 x + 28427 y = 108337 ........(4)

Now subtract equation 4 from equation 3 and get

29928 x = 89784

x = 89784/29928

x = 3 , Substitute that value in equation (1)

we get

217 ( 3 ) + 131 y = 913

651 + 131 y = 913

131 y = 262

y = 262/131

y = 2

So,

x = 3 and y = 2

Hope this helps you