Q) If 217x + 131y = 913 and 131x + 217y = 827, then solve the equations for the values of x and y.

Ans:

217 x + 131 y = 913………….(1)

131 x + 217 y = 827………….(2)

By adding equations (1) and (2), we get

348 (x + y) = 1740

x + y = 5…………………..(3)

Now, subtract equations (1) and (2) from each other, we get

86 (x —y) = 86

x – y = 1……………………. (4)

Solving equations (3) and (4), we get

x = 3, y = 2