It is known that m and N are positive numbers with {MX + NY = mm + NN} nx+my=2mn Note: {MX + NY = + n squared Nx + my = 2Mn is a system of quadratic equations x+y=?

It is known that m and N are positive numbers with {MX + NY = mm + NN} nx+my=2mn Note: {MX + NY = + n squared Nx + my = 2Mn is a system of quadratic equations x+y=?


(1) 2
mm+nn-2mn=0
That is, (m-n) (m-n) = 0
So m = n
The original equations are changed into one equation
m(x+y)=2mm
That is, x + y = 2m
This is an equation with innumerable solutions