x-y+z=-1 5x+2y-z=6 4x-3y+2z=-5

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x-y+z=-15x+2y-z=64x-3y+2z=-5x-y+z=-15x+2y-z=64x-3y+2z=-5x-y+z=-15x+2y-z=64x-3y+2z=-5x-y+z=-1①5x+2y-z

x-y+z=-1 5x+2y-z=6 4x-3y+2z=-5
x-y+z=-1 5x+2y-z=6 4x-3y+2z=-5

x-y+z=-1 5x+2y-z=6 4x-3y+2z=-5
x-y+z=-1①
5x+2y-z=6 ②
4x-3y+2z=-5③
①+②得 6x+y=5④
②×2+③得14x+y=7⑤
⑤-④得 8x=2 x=1/4
代入④得 y=5-6x=7/2
x,y代入①得z=-1+y-x=9/4
综上方程组的解为
x=1/4
y=7/2
z=9/4