x+y=z 2x-3y+2z=5 x+2y-z=3

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 13:57:08
x+y=z 2x-3y+2z=5 x+2y-z=3

x+y=z 2x-3y+2z=5 x+2y-z=3
x+y=z 2x-3y+2z=5 x+2y-z=3

x+y=z 2x-3y+2z=5 x+2y-z=3
x+y=z
2x-3y+2z=5
x+2y-z=3
第三个式子乘2得2x+4y-2z=6
加上第二个式子4x+y=11
第一个式子代入第三个式子得y=3,则x=2
代入第一个式子,z=5

x+y=z (1)
2x-3y+2z=5 (2)
x+2y-z=3 (3)
把z=x+y代入(2)和(3)
2x-3y+2x+2y=5 4x-y=5
x+2y-x-y=3 y=3
x=2
z=5

x+y=z .................1
2x-3y+2z=5 ..................2
x+2y-z=3.....................3
将1式代入2式得
2x-3y+2(x+y)=5
2x-3y+2x+2y=5
4x-y=5..............................3
将1式代入3式得<...

全部展开

x+y=z .................1
2x-3y+2z=5 ..................2
x+2y-z=3.....................3
将1式代入2式得
2x-3y+2(x+y)=5
2x-3y+2x+2y=5
4x-y=5..............................3
将1式代入3式得
x+2y-(x+y)=3
x+2y-x-y=3
y=3..........................4
将4式代入3式得
4x-3=5
4x=8
x=2.................5
将4式,5式代入1式得
z=x+y=2+3=5
所以x=2,y=3,z=5

收起