What is x+y+z-2=6,x-4y+5z-31=0 ?

The solution to x+y+z-2=6,x-4y+5z-31=0 is x=(-9y-23)/4+8,z=(5y+23)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x+y+z-2=6,x-4y+5z-31=0

x + y + z - 2 = 6, x - 4 y + 5 z - 31 = 0

x = \frac{- 9 y - 23}{4} + 8, z = \frac{5 y + 23}{4}

Solution steps

[x + y + z - 2 = 6 x - 4 y + 5 z - 31 = 0]

Isolate

x

for

x + y + z - 2 = 6 : x = 8 - y - z

Substitute

x = 8 - y - z

[8 - y - z - 4 y + 5 z - 31 = 0]

Simplify

[4 z - 5 y - 23 = 0]

Isolate

z

for

4 z - 5 y - 23 = 0 : z = \frac{5 y + 23}{4}

For

x = 8 - y - z

Expressing

x

in terms of

y

x = 8 - y - \frac{5 y + 23}{4}

Simplify

8 - y - \frac{5 y + 23}{4} : \frac{- 9 y - 23}{4} + 8

x = \frac{- 9 y - 23}{4} + 8

The solutions to the system of equations are:

x = \frac{- 9 y - 23}{4} + 8, z = \frac{5 y + 23}{4}

10 x + 4 y = 1, 5 x + 8 y = 5

3 x + 4 y = 7, x + 5 y = 17

y - 132 x - 5 y = - 30, x = 2

2 x + 4 y = 6, y = 3 x - 2

\frac{x}{3} + y = 16, 3 x + \frac{y}{2} = \frac{61}{2}

What is x+y+z-2=6,x-4y+5z-31=0 ?
The solution to x+y+z-2=6,x-4y+5z-31=0 is x=(-9y-23)/4+8,z=(5y+23)/4