Question

(a+b)x + ( a- b)y = a2+ 2ab - b2 , ( a- b) ( x+y)= a2-b2

Answer 1

a − b) x + (a + b) y = a 2 − 2ab − b 2 … (1)(a + b) (x + y) = a 2 + b 2(a + b) x + (a + b) y = a 2 + b 2 … (2)Subtracting equation (2) from (1), we obtain(a − b) x − (a + b) x = (a 2 − 2ab − b 2) − (a 2 + b 2)(a − b − a − b) x = − 2ab − 2b 2− 2bx = − 2b (a + b)x = a + bUsing equation (1), we obtain(a − b) (a + b) + (a + b) y = a 2 − 2ab − b 2a 2 − b 2 + (a + b) y = a 2− 2ab − b 2(a + b) y = − 2ab