zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

4x-y+5z=-6,3x+3y-4z=30,6x+2y-3z=33

解答

4 x - y + 5 z = - 6, 3 x + 3 y - 4 z = 30, 6 x + 2 y - 3 z = 33

解答

x = 3, y = 3, z = - 3

求解步骤

4 x - y + 5 z = - 6 3 x + 3 y - 4 z = 30 6 x + 2 y - 3 z = 33

对于

4 x - y + 5 z = - 6

将

x

移到一边:

x = \frac{- 6 + y - 5 z}{4}

替代

x = \frac{- 6 + y - 5 z}{4}

[3 \cdot \frac{- 6 + y - 5 z}{4} + 3 y - 4 z = 30 6 \cdot \frac{- 6 + y - 5 z}{4} + 2 y - 3 z = 33]

化简

[\frac{15 y - 31 z - 18}{4} = 30 \frac{7 y - 21 z - 18}{2} = 33]

对于

\frac{15 y - 31 z - 18}{4} = 30

将

y

移到一边:

y = \frac{31 z + 138}{15}

替代

y = \frac{31 z + 138}{15}

[\frac{7 \cdot \frac{31 z + 138}{15} - 21 z - 18}{2} = 33]

化简

[\frac{- 49 z + 348}{15} = 33]

对于

\frac{- 49 z + 348}{15} = 33

将

z

移到一边:

z = - 3

对于

y = \frac{31 z + 138}{15}

替代

z = - 3

y = \frac{31 ( - 3 ) + 138}{15}

\frac{31 ( - 3 ) + 138}{15} = 3

y = 3

对于

x = \frac{- 6 + y - 5 z}{4}

替代

y = 3, z = - 3

x = \frac{- 6 + 3 - 5 ( - 3 )}{4}

\frac{- 6 + 3 - 5 ( - 3 )}{4} = 3

x = 3

方程组的解为:

x = 3, y = 3, z = - 3

流行的例子

-x+2y=4,-2x-4y=3

- x + 2 y = 4, - 2 x - 4 y = 3

3 x = 3, 46 = x + 108

3x+6y=39,0x+3y=1300

3 x + 6 y = 39, 0 x + 3 y = 1300

7x-4y=1,7x-2y=53

7 x - 4 y = 1, 7 x - 2 y = 53

x+y=3,x+z=4,y+z=-3

x + y = 3, x + z = 4, y + z = - 3