问题 解答题
解方程(不等式)组:
(1)
3(x+y)-4(x-y)=6
x+y
2
+
x-y
3
=3

(2)
5x-1>3(x+1)
1
2
x-1≤7-
3
2
x
答案

(1)原方程组可化为,

3(x+y)-4(x-y)=6①
3(x+y)+2(x-y)=18②

①-②得,-6(x-y)=-12,

即x-y=2…③;

代入①得,3(x+y)-8=6,

解得x+y=

14
3
…④,

③+④得,x=

10
3

③-④得,y=

4
3

故此方程组的解为:

x=
10
3
y=
4
3

(2)

5x-1>3(x+1)⑤
1
2
x-1≤7-
3
2
x⑥

由⑤得,x>2,

由⑥得x≤4,

故此不等式组的解集为:2<x≤4.

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