用代入法解下列方程组.a=2b+3a=3b+20x-y=13x=6y-7x-y=44x+2y=-15x-y=1109y-x=110
问题描述:
用代入法解下列方程组.
a=2b+3
a=3b+20
x-y=13
x=6y-7
x-y=4
4x+2y=-1
5x-y=110
9y-x=110
答
2b+3=3b+20
-b=17
b=-17
a=-31
6y-7-y=13
5y=20
y=4
x=17
x=4+y
4(4+y)+2y=-1
6y=-17
y=-17/6
x=7/6
y=5x-110
9(5x-110)-x=110
44x=1100
x=100
y=390
答
a=2b+3 .(1)
a=3b+20.(2)
把(1)式代入(2)式得:
2b+3=3b+20
-b=17
b=-17
代入(1)式得:
a=-34+3
=-31
故:a=-31;b=-17
x-y=13 .(1)
x=6y-7 .(2)
把(2)式代入(1)式得:
6y-7-y=13
5y=20
y=4
代入(2)式得:
x=24-7=17
故:x=17;y=4
x-y=4 .(1)
4x+2y=-1 .(2)
(1)式移项得:
x=4+y代入(2)式得:
4(4+y)+2y=-1
16+6y=-1
y=-17/6
代入(1)式得:
x=4-17/6
=7/6
故:x=7/6;y=-17/6
5x-y=110 .(1)
9y-x=110.(2)
(2)式移项得:
x=9y-110.(3)
把(3)式代入(1)式得:
5(9y-110)-y=110
45y-550-y=110
44y=660
y=15
代入(3)式得:
x=135-110=25
故:x=25;y=15