use elimination to solve each system of equations

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/13 09:24:24

use elimination to solve each system of equations
例子:X- Y= 1 X + Y= 3 and 3x-y=26 -2x-y= -24

利用消元法求解每个方程组
1.x-y=1 (1)
x+y=3 (2)
解 (2)-1×(1)代替(2),原方程组化为
x-y=1 (1)
2y=2 (2)
解得y=1代入(1)得x-1=1,x=2,故方程组的解为
x=2,y=1.
2.3x-y=26 (1)
-2x-y=-24 (2)
解 (2)-(-2/3)×(1)代替(2),原方程组化为
3x-y=26 (1)
(-5/3)y=-20/3 (2)
解得y=4代入(1)得3x-4=26,x=10,故方程组的解为
x=10,y=4.

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