Question

If 49x + 51y = 499, 51x + 49y = 501, then find the value of x and y.

Answer 1

Adding the two equations and dividing by 10, we get: x + y = 10

Subtracting the two equations and dividing by –2, we get: x – y = 1

Solving these two new equations, we get, x = `11/2`

y = `9/2`