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

Solve the following system of equations by method of cross-multiplication: (x+y)/(xy)=2,quad (x-y)/(xy)=6

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: 5/(x+y)-2/(x-y)=-1,\ \ \ (15)/(x+y)+7/(x-y)=10 , where x!=0 and y!=0

Solve the following system of equations by method of cross-multiplication: (57)/(x+y)+6/(x-y)=5,\ \ \ (38)/(x+y)+(21)/(x-y)=9

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: m x-n y=m^2+n^2,\ \ \ \ x+y=2m

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: 2x-y=6,\ \ \ \ x-y=2

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: 2x+y=35 ,\ \ \ \ 3x+4y=65