linear eqns in 2 variable..

Use cross multiplication, do it step by step so don't make any mistake.

(a-b)x + (a+b)y = a² - 2ab - b²

(a+b)x + (a+b)y = a² + b²

Subtracting the two equations,

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

-2bx = -2ab-2b²

x = a+b

Use this in the given equations,

(a+b)x + (a+b)y = a² + b²   

(a+b)(a+b) + (a+b)y = a² + b²   

a² + 2ab + b² + (a+b)y = a² + b²  

y = -2ab/(a+b)

Regards,

Team,

TopperLearning.