Question

若和(3x-y+5)2与.|2x-y+3|互为相数求x,y的值

若和(3x-y+5)2与.|2x-y+3|互为相数求x,y的值

Answer 1

若和(3x-y+5)2与.|2x-y+3|互为相反数求x,y的值
因为 (3x-y+5)^2与|2x-y+3|互为相反数，
所以 (3x-y+5)^2+|2x-y+3|=0,
因为 (3x-y+5)^2>=0, |2x-y+3|>=0,
所以 (3x-y+5)^2=|2x-y+3|=0
3x-y+5=0
2x-y+3=0
解这个方程组得：x=-2， y=-1

Answer 2

∵(3x-y+5)²与|2x-y+3|互为相数，且(3x-y+5)²≥0，|2x-y+3|≥0
∴{3x-y+5=0
{2x-y+3=0
解得：x=-2,y=-1

Answer 3