求解方程√(x+y-2)+|x+2y|=0

求解方程√(x+y-2)+|x+2y|=0
【正确答案】：原方程等价于 {x+y-2=0 (1) 3x+2y=0 (2) (2)-(1)得y=-2, 代入(2)式得x=4, 即原方程的解为x=4,y=-2.