Solve the given pair of linear equati(a - b)x+ (a + b)y a-2ab-b(a+b) (

1.	Solve the given pair of linear equati(a - b)x+ (a + b)y a-2ab-b(a+b) (x + y) a2 + b2
Answer» (a-b)x+(a+b)y=a²-2ab-b².....(1) (a+b)(x+y)=a²+b²a(x+y)+b(x+y)=a²+b²(a+b)x+(a+b)y=a²+b²......(2) Subtract equation 1 from 2 (a+b-a+b)x=a²+b²-a²+2ab+b²2bx=2b²+2abx=b+a (a+b)x+(a+b)y=a²+b²(a+b)(a+b)+(a+b)y=a²+b²(a+b)y=a²+b²-(a+b)(a+b)(a+b)y=a²+b²-a²-b²-2ab(a+b)y=-2aby=-2ab/(a+b)

Solve the given pair of linear equati(a - b)x+ (a + b)y a-2ab-b(a+b) (x + y) a2 + b2

Answer»

(a-b)x+(a+b)y=a²-2ab-b².....(1)

(a+b)(x+y)=a²+b²a(x+y)+b(x+y)=a²+b²(a+b)x+(a+b)y=a²+b²......(2)

Subtract equation 1 from 2

(a+b-a+b)x=a²+b²-a²+2ab+b²2bx=2b²+2abx=b+a

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