Question

Solve for x and y :
x/a + y/b = 2
ax - by = a^2 - b^2

Answer 1

HERE IS YOUR ANSWER :

Given :

x/a + y/b = 2
or, bx + ay = 2ab .....(i)

and

ax - by = a² - b² .....(ii)

Now, multiplying (i) by a and (ii) by b, we get :

abx + a²y = 2a²b
abx - b²y = a²b - b³

On subtraction, we get :

(a² + b²)y = b(a² + b²)
or, y = b

Putting y = b in (ii), we get :

ax - b² = a² - b²
or, ax = a²
or, x = a

Therefore, the required solution is
x = a and y = b.

HOPE IT HELPS YOU.