Solve : `a(x+y)+b(x-y)=a^2-a b+b^2`, `a(x+y)-b(x-y)=a^2+a b+b^2`

Solve :a(x+y)+b(x-y)=a^(2)-ab+b^(2)a(x+y)-b(x-y)=a^(2)+ab+b^(2)

Solve the following simultaneous linear equations in two variables by the method of cross-multiplication : a(x+y)+b(x-y)=a^(2)-ab+b^(2) a(x+y)-b(x-y)=a^(2)+ab+b^(2)

Solve the following equations by Elimination method : a(x+y)+b(x-y)-(a^2-ab+b^2)=0 , a(x+y)-b(x-y)-(a^2+ab+b^2)=0 .

Solve: x+y=a+b ; a x-b y=a^2-b^2

x+y=a+b , a x-b y=a^2-b^2

Solve: (a-b)x+(a+b)y=a^2-2ab-b^2 and (a+b)(x+y)=a^2+b^2

Solve the following system of equations in x and y (a-b)x+(a+b)y=a^2-2a b-b^2,\ \ \ \ (a+b)(x+y)=a^2+b^2

Solve the following equations by Elimination method : (a-b)x+(a+b)y=a^2-2ab-b^2 , (a+b)(x+y)=a^2+b^2 .

Solve for x and y. (a-b)x+(a+b)y=a^(2)-2ab-b^(2) , (a+b)(x+y)=a^(2)+b^(2)