∵(4x+3y-1)²≥0,|2x-y+7|≥0
(4x+3y-1)²+|2x-y+7|≤0
∴(4x+3y-1)²=0,|2x-y+7|=0
即:4x+3y-1=0
2x-y+7=0
解方程组,得
x=-2;y=3