2x+3y=12,3x+4y=17 用加减法解方程组还有一个3(x-1)=y+5,5(y-1)=3(x+5)

问题描述:

2x+3y=12,3x+4y=17 用加减法解方程组
还有一个
3(x-1)=y+5,5(y-1)=3(x+5)

2x+3y=12 (1)
3x+4y=17 (2)
(2)*3-(2)*2
9y-8y=36-34
y=2
(2)*3-(1)*4
9x-8x=51-48
x=3

2x+3y=12 (1)
3x+4y=17 (2)
(2)*3-(2)*2
9y-8y=36-34
y=2
(2)*3-(1)*4
9x-8x=51-48
x=3
3(x-1)=y+5 (3)
5(y-1)=3(x+5) (4)
(3)整理
3x-3=y+5
3x-y=8 (5)
(4)整理
5y-5=3x+15
3x-5y=-20 (6)
(5)-(6)
-y+5y=8+20
4y=28
y=7
(5)*5-(6)
15x-3x=40+20
12x=60
x=5