Question

Solve the following pairs of linear equations:
(a –b)x + (a + b)y = a² –2ab –b²
(a + b)(x + y) = a² + b²

Answer 1

Answer

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

=The pair of liner equation is-

(a –b)x + (a + b)y = a² –2ab –b²

(a + b)(x + y) = a² + b²

=(a-b) x + (a + b) y = a² - 2ab - b². …(1)

=(a + b) (x + y) = a² + b²……(2)

=(a + b)x+ (a+b) y = a² + b²…….(3)

=(a-b) x + (a + b) y = a² - 2ab - b²,…(1)

=(a + b)x+ (a+b) y = a² + b²…….(3)

=(a-b-a-b) x = a² - 2ab - b²- a² - b²

=-2b x = - 2ab -2 b²

=-2b x =-2b(a+b)

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

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

=(a + b) y = a² - 2ab - b² - a² + b²

=(a + b) y = - 2ab

=y = - 2ab /(a+b)