题目内容
若二元一次方程组
的解中x与y的值相等,则a=________.
11
分析:根据题意可知x=y,只要把x用y代入(或把y用x代入)解出y(或x)的值,再代入ax+(a-1)y=3中,即可解出a的值.
解答:依题意得:x=y
∴4x+3y=4x+3x=7x=1
∴x=
=y
∵ax+(a-1)y=3即
a+
(a-1)=3
∴
a=3+
=
∴a=11
点评:本题考查的是对二元一次方程组的解的计算,根据题意列出x=y,解出x,y的值,再在方程中代入x,y的值即可得出a
分析:根据题意可知x=y,只要把x用y代入(或把y用x代入)解出y(或x)的值,再代入ax+(a-1)y=3中,即可解出a的值.
解答:依题意得:x=y
∴4x+3y=4x+3x=7x=1
∴x=

∵ax+(a-1)y=3即


∴



∴a=11
点评:本题考查的是对二元一次方程组的解的计算,根据题意列出x=y,解出x,y的值,再在方程中代入x,y的值即可得出a

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