[" EXAMPLE 6Solve the following system of equations in x and y "],[[(a-b)x+(a+b)y,=a^(2)-2ab-b^(2)],[(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 for x and y. (a-b)x+(a+b)y=a^(2)-2ab-b^(2) , (a+b)(x+y)=a^(2)+b^(2)

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

Solve the following system of equations in x and y:(a)/(x)-(b)/(y)=0,quad (ab^(2))/(x)+(a^(2)b)/(y)=a^(2)+b^(2) where x,y!=0

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 the following pair of linear equations : (a-b)x+(a+b)y=a^(2)-2ab-b^(2) (a+b)(x+y)=a^(2)+b^(2)

Solve the following pair of linear equations : (a-b)x+(a+b)y=a^(2)-2ab-b^(2)and(a+b)(x+y)=a^(3)+b^(2)

Solve the following system of equations: x+y=a+b ,\ \ \ \ a x-b y=a^2-b^2

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

Solve the following system of linear equations. : ( a - b) x + (a + b ) y = a ^(2) - 2ab - b ^(2) , (a + b ) (x + y ) = a ^(2) + b ^(2) .