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 >

x+y+z=6,x+2y+3z=1,4x+4y+7z=30

解答

x + y + z = 6, x + 2 y + 3 z = 1, 4 x + 4 y + 7 z = 30

解答

x = 13, y = - 9, z = 2

求解步骤

x + y + z = 6 x + 2 y + 3 z = 1 4 x + 4 y + 7 z = 30

对于

x + y + z = 6

将

x

移到一边:

x = 6 - y - z

替代

x = 6 - y - z

[6 - y - z + 2 y + 3 z = 1 4 (6 - y - z) + 4 y + 7 z = 30]

化简

[y + 2 z + 6 = 1 3 z + 24 = 30]

对于

3 z + 24 = 30

将

z

移到一边:

z = 2

替代

z = 2

[y + 2 \cdot 2 + 6 = 1]

化简

[y + 10 = 1]

对于

y + 10 = 1

将

y

移到一边:

y = - 9

对于

x = 6 - y - z

替代

y = - 9, z = 2

x = 6 - (- 9) - 2

化简

x = 13

方程组的解为:

x = 13, y = - 9, z = 2

流行的例子

m+n=38,2m-4n=-8

m + n = 38, 2 m - 4 n = - 8

x+y=16,5x+2y=50

x + y = 16, 5 x + 2 y = 50

x + y = 20, x - y = 8

x-y=4,x+y=30,r=30-x

x - y = 4, x + y = 30, r = 30 - x

(2)x+7y=10,3x-2y=7

(2) x + 7 y = 10, 3 x - 2 y = 7