Solve: `a x+b y=a-b ,\ \ \ \ b x-a y=a+b`

"Solve for x and y; ax+by=a-b, "bx-ay=a+b

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

If x+y+z=0 prove that |a x b y c z c y a z b x b z c x a y|=x y z|a b cc a bb c a|

Solve by cross multiplication: (a-b)x+(a+b)y=2a-b(a-b)x-(a+b)y=ab

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) .

Solve for x and y by cross multiplication method x + y = a + b ax – by = a^(2) – b^(2)

Solve: a^2x+b^2y=c^2; b^2x+a^2y=d^2