3/4X+3/4Y+3/2Z=1.863X+9/4Y+3/2Z=4.2615/4X+3Y+3/2Z=5.16

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3/4X+3/4Y+3/2Z=1.863X+9/4Y+3/2Z=4.2615/4X+3Y+3/2Z=5.16
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3/4X+3/4Y+3/2Z=1.863X+9/4Y+3/2Z=4.2615/4X+3Y+3/2Z=5.16
3/4X+3/4Y+3/2Z=1.86
3X+9/4Y+3/2Z=4.26
15/4X+3Y+3/2Z=5.16

3/4X+3/4Y+3/2Z=1.863X+9/4Y+3/2Z=4.2615/4X+3Y+3/2Z=5.16
3/4x+3/4y+3/2z=1.86
3x+9/4y+3/2z=4.26
15/4x+3y+3/2z=5.16
各式乘以4得
3x+3y+6z=7.44 ①
12x+9y+6z=17.04 ②
15x+12y+6z=20.64 ③
②-①得 9x+6y=9.6 ④
③-①得 3x+3y=3.6 ⑤
⑤×2得 6x+6y=7.2 ⑥
④-⑥得 3x=2.4
x=0.8 ⑦
⑦代入⑤得 3×0.8+3y=3.6
2.4+3y=3.6
3y=3.6-2.4
3y=1.2
y=0.4 ⑧
⑦与⑧代入①得 3×0.8+3×0.4+6z=7.44
2.4+1.2+6z=7.44
6z=7.44-2.4-1.2
6z=3.84
z=0.64
方程组的解是 x=0.8 y=0.4 z=0.64

3/4X+3/4Y+3/2Z=1.86
3X+9/4Y+3/2Z=4.26
15/4X+3Y+3/2Z=5.16
将上述各式x4,得②
3X+3Y+6Z=7.44 ①
12X+9Y+6Z=17.04 ②
15X+12Y+6Z=20.64 ③
①+②-③,得 6Z=3.84 即 z=0.64
②-①x3,得 3...

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3/4X+3/4Y+3/2Z=1.86
3X+9/4Y+3/2Z=4.26
15/4X+3Y+3/2Z=5.16
将上述各式x4,得②
3X+3Y+6Z=7.44 ①
12X+9Y+6Z=17.04 ②
15X+12Y+6Z=20.64 ③
①+②-③,得 6Z=3.84 即 z=0.64
②-①x3,得 3x-12z=-5.28 得 3x=2.04 即 x=0.68
将x=0.68,z=0.64代入①式,得
3Y=7.44-3X-6Z=1.56 即 y=0.52
故x=0.68,y=0.52,z=0.64

收起

x=0.8
y=0.2
z=0.64