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

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

Solve the following system of equations in xa n dy a x+b y=1 b x+a y=((a+b)^2)/(a^2+b^2)-1or ,b x+a y=(2a b)/(a^2+b^2)

Solve the following system of equations b(x)/(a)-a(y)/(b)+a+b=0,bx-ay+2ab=0

Solve the following system of equations by method of cross-multiplication: x/a+y/b=2,\ \ \ \ a x-b y=a^2-b^2

Solve the following system of equations: x+y=2x y ,\ \ \ \ (x-y)/(x y)=6,\ \ x!=0,\ y!=0

Solve the following system of equations by method of cross-multiplication: (a^2)/x-(b^2)/y=0,\ \ \ (a^2b)/x+(b^2a)/y=a+b ,\ \ \ \ x ,\ y!=0