解方程组 {2x+3y=5,3y-4z=3,4z+5x=7}
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解方程组{2x+3y=5,3y-4z=3,4z+5x=7}解方程组{2x+3y=5,3y-4z=3,4z+5x=7}解方程组{2x+3y=5,3y-4z=3,4z+5x=7}(2)+(3)得5x+3y
解方程组 {2x+3y=5,3y-4z=3,4z+5x=7}
解方程组 {2x+3y=5,3y-4z=3,4z+5x=7}
解方程组 {2x+3y=5,3y-4z=3,4z+5x=7}
(2)+(3)得
5x+3y=10 (4)
(4)-(1)得
3x=5
∴x=5/3
把x=5/3代入(1)得
10/3+3y=5
y=5/9
把x=5/3代入(3)得
4z+25/3=7
z=-1/3
∴方程组的解是
x=5/3
y=5/9
z=-1/3
2x+3y=5 ①
3y-4z=3 ②
4z+5x=7 ③
②+③
5x+3y=10 ④
④-①
3x=5
x=5/3
3y=10-5(5/3)=30/3-25/3=5/3
y=5/9
4z=7-5(5/3)=21/3-25/3=-4/3
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