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

Solve the following system of equations: x+y=a-b,quad ax-by=a^(2)+b^(2)

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

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 linear equations. : ( 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 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 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 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 system of equations: x^(y)=y^(x)a^(x)=b^(y)