若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.

来源:学生作业帮助网 编辑:作业帮 时间:2024/06/17 07:09:36
若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.
xJ@_eiIE E7Ȣ-]*6軔$]^3Jf?jgPtjbr6 t=ݦ&Oe^ҎΞYl5ݪU^ '#Ca= G*XCH; 履  fU{m*L/H,x]Jƽl<W e$s4' lmL @[2 )s;Ո i D"#ା$Ȣ&8H{gcvg^J-~A$jtcd,:}m6 8BPPq<i<

若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.
若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.

若|x-y+3|与|x+y-2013|互为相反数,求x+2y/x-y的值.
|x-y+3|+|x+y-2013|=0
x-y=-3
x+y=2013
2x=2013-3=2010
x=1005
y=x+3=1005+3=1008
x+2y/x-y
=(1005+2x1008)/-3
=3021/-3
=-1007

|x-y+3|与|x+y-2013|互为相反数
∴|x-y+3|+|x+y-2013|=0
∴﹛x-y+3=0
x+y-2013=0
∴x=1005, y=1008
∴x+2y/x-y
=(1005+2016)/(1005-1008)
=-1007

∵|x-y+3|与|x+y-2013|互为相反数
∴|x-y+3|+|x+y-2013|=0
x-y+3=0
x+y-2013=0
∴x=1005
y=1008

∴(x+2y)/(x-y)=(x-y+3y)/(x-y)=1+3y/(x-y)=1+3*1008/(1005-1008)=1-1008=-1007

|x-y+3|与|x+y-2013|互为相反数
则:|x-y+3|=0且|x+y-2013|=0
联立方程组
x-y+3=0
x+y-2013=0
解得x=1005,y=1008
x+2y/x-y
=(1005+2016)/(1005-1008)
=-1007

x=1005,y=1008. 最终答案为 -1007 保对!