Question

Solve the system of equations

ax+y=2a
x+ay=1+a^2

Answer 1

x = 1; y = a

Explanation:

ax+y=2a

x+ay=1+a^2

-a²x-ay=-2a²

x+ay=1+a^2

(1 - a²)x = 1 - a²

x = (1 - a²)/(1 - a²)

x = 1

a + y = 2a

1 + ay = 1 + a²

a = y

x = 1; y = a