解三元一次方程组2x+3y+2z=19 3x+2y+2z=17 2x+2y+3z=13

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解三元一次方程组2x+3y+2z=193x+2y+2z=172x+2y+3z=13解三元一次方程组2x+3y+2z=193x+2y+2z=172x+2y+3z=13解三元一次方程组2x+3y+2z=1

解三元一次方程组2x+3y+2z=19 3x+2y+2z=17 2x+2y+3z=13
解三元一次方程组2x+3y+2z=19 3x+2y+2z=17 2x+2y+3z=13

解三元一次方程组2x+3y+2z=19 3x+2y+2z=17 2x+2y+3z=13
2x+3y+2z=19 (1)
3x+2y+2z=17 (2)
2x+2y+3z=13 (3)
(1)-(3)
y-z=6 z=y-6
(2)-(1)
x-y=-2 x=y-2
带入(3)
y=5 x=3 z=-1