已知（3-y-4x)²+(4x+y-3)=0,求实数x,y的 能求出吗

已知（3-y-4x)²+(4x+y-3)=0,求实数x,y的 能求出吗
已知（3-y-4x)²+(4x+y-3)=0,求实数x,y的
能求出吗

已知（3-y-4x)²+(4x+y-3)=0,求实数x,y的 能求出吗
(3-y-4x)^2+(4x+y-3)=0
(3-y-4x)^2-(3-y-4x)=0
(3-y-4x)(3-y-4x-1)=0
(3-y-4x)(2-y-4x)=0
3-y-4x=0或2-y-4x=0
y=3-4x或y=2-4x
只要满足3-y-4x=0或2-y-4x=0的实数x,y均符合题意要求
所以,本题有无数多解