方程组 3X+2Y+Z =13X+Y+2Z =72X+3Y-Z =12

发布时间:2021-02-19 01:03:35

方程组 3X+2Y+Z =13X+Y+2Z =72X+3Y-Z =12

网友回答

3X+2Y+Z =13 (1)
X+Y+2Z =7
(2)2X+3Y-Z =12
(3)(1)+(3)得5X+5Y=25 (4)
(3)×2+(2)得5X+7Y=31 (5)
(5)-(4)得2Y=6,∴Y=3
代入(4)得X=2
代入(2)得Z=1
======以下答案可供参考======
供参考答案1:
X+Y+2Z=7乘以3减去3X+2Y+Z =13得 Y+5Z=8 2X+3Y-Z =12 乘以5得10X+3Y-5Z=60 用10X+3Y-5Z=60加Y+5Z=8 得X=2 Z=1 Y=3
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