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受欢迎的代数 >

x-y+z=-9,4x+2y-z=8,-2x+4y-z=38

解答

x - y + z = - 9, 4 x + 2 y - z = 8, - 2 x + 4 y - z = 38

解答

x = - 2, y = 9, z = 2

求解步骤

x - y + z = - 9 4 x + 2 y - z = 8 - 2 x + 4 y - z = 38

对于

x - y + z = - 9

将

x

移到一边:

x = - 9 + y - z

替代

x = - 9 + y - z

[4 (- 9 + y - z) + 2 y - z = 8 - 2 (- 9 + y - z) + 4 y - z = 38]

化简

[6 y - 5 z - 36 = 8 2 y + z + 18 = 38]

对于

6 y - 5 z - 36 = 8

将

y

移到一边:

y = \frac{5 z + 44}{6}

替代

y = \frac{5 z + 44}{6}

[2 \cdot \frac{5 z + 44}{6} + z + 18 = 38]

化简

[\frac{8 z + 44}{3} + 18 = 38]

对于

\frac{8 z + 44}{3} + 18 = 38

将

z

移到一边:

z = 2

对于

y = \frac{5 z + 44}{6}

替代

z = 2

y = \frac{5 \cdot 2 + 44}{6}

\frac{5 \cdot 2 + 44}{6} = 9

y = 9

对于

x = - 9 + y - z

替代

y = 9, z = 2

x = - 9 + 9 - 2

化简

x = - 2

方程组的解为:

x = - 2, y = 9, z = 2

流行的例子

2x+3y=6,3x-5 y/2 =2

2 x + 3 y = 6, 3 x - 5 \frac{y}{2} = 2

4x+5y=19,5x-6y=-7

4 x + 5 y = 19, 5 x - 6 y = - 7

3x^5y=29,5x^5y=35

3 x^{5} y = 29, 5 x^{5} y = 35

x - y = 7, x + 3 y = 5

x+5y=3,3x+10y=1

x + 5 y = 3, 3 x + 10 y = 1