Question

Solve each of the following systems of equations by the method of cross-multiplication:

(a - b)x + (a + b)y = 2a² - 2b²

(a + b)(x + y) = 4ab

Answer 1

Method of cross multiplication:For the system of equations:

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

Here,

a₁ = (a - b),

b₁ = (a+b) ,

c₁ = 2b² - 2a²a² = (a+b),

b₂ = (a+b),

c₂ = - 4a

So,