已知x+y+2(-x-y+1)=3(1-y-x)-4(y+x-1),则x+y等于(  ) A.-65 B.65 C.-56 D.56

问题描述:

已知x+y+2(-x-y+1)=3(1-y-x)-4(y+x-1),则x+y等于(  )
A. -

6
5

B.
6
5

C. -
5
6

D.
5
6

方法1:∵x+y+2(-x-y+1)=3(1-y-x)-4(y+x-1)∴x+y-2x-2y+2=3-3y-3x-4y-4x+4∴-x-y+2=7-7y-7x∴6x+6y=5∴x+y=56方法2:∵x+y+2(-x-y+1)=3(1-y-x)-4(y+x-1)∴(x+y)-2(x+y)+2=3-3(x+y)-4(x+y)+4∴(...