|2x-y+3t| 与 ( 3y+x-2t)² 互为相反数,求3x-y分之3x+2y的值.
问题描述:
|2x-y+3t| 与 ( 3y+x-2t)² 互为相反数,求3x-y分之3x+2y的值.
答
∵|2x-y+3t| +( 3y+x-2t)² =0
而∵|2x-y+3t| ≥0,( 3y+x-2t)² ≥0
∴2x-y+3t=0
3y+x-2t=0
解得x=-t
y=t
(3x+2y)/(3x-y)
=(-3t+2t)/(-3t-t)
=-t/(-4t)
=1/4