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

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

Solve the following system of equations by method of cross-multiplication: a x+b y=(a+b)/2,\ \ \ \ 3x+5y=4

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

Solve the following system of equations by method of cross-multiplication: 2a x+3b y=a+2b ,\ \ \ \ 3a x+2b y=2a+b

Solve the following system of equations by method of cross-multiplication: 5a x+6b y=28 ,\ \ \ \ 3a x+4b y=18

Solve the following system of equations by method of cross-multiplication: 6(a x+b y)=3a+2b ,\ \ \ \ 6(b x-a y)=3b-2a

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

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

Solve the following system of equations by method of cross-multiplication: 2x-y=6,quad x-y=2

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