What is x+8y-3z=7,-x+3y-2z=1,3x+2y+z=5 ?

The solution to x+8y-3z=7,-x+3y-2z=1,3x+2y+z=5 is x=(-7z-64)/(11)+7,y=(5z+8)/(11)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x+8y-3z=7,-x+3y-2z=1,3x+2y+z=5

x + 8 y - 3 z = 7, - x + 3 y - 2 z = 1, 3 x + 2 y + z = 5

x = \frac{- 7 z - 64}{11} + 7, y = \frac{5 z + 8}{11}

Solution steps

x + 8 y - 3 z = 7 - x + 3 y - 2 z = 1 3 x + 2 y + z = 5

Isolate

x

for

x + 8 y - 3 z = 7 : x = 7 - 8 y + 3 z

Substitute

x = 7 - 8 y + 3 z

[- (7 - 8 y + 3 z) + 3 y - 2 z = 1 3 (7 - 8 y + 3 z) + 2 y + z = 5]

Simplify

[11 y - 5 z - 7 = 1 - 22 y + 10 z + 21 = 5]

Isolate

y

for

11 y - 5 z - 7 = 1 : y = \frac{5 z + 8}{11}

Substitute

y = \frac{5 z + 8}{11}

[- 22 \cdot \frac{5 z + 8}{11} + 10 z + 21 = 5]

Simplify

[5 = 5]

For

x = 7 - 8 y + 3 z

Expressing

x

in terms of

z

x = 7 - 8 \cdot \frac{5 z + 8}{11} + 3 z

Simplify

7 - 8 \cdot \frac{5 z + 8}{11} + 3 z : \frac{- 7 z - 64}{11} + 7

x = \frac{- 7 z - 64}{11} + 7

The solutions to the system of equations are:

x = \frac{- 7 z - 64}{11} + 7, y = \frac{5 z + 8}{11}

4 x + y = 0, x + 5 y = - 19

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

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

What is x+8y-3z=7,-x+3y-2z=1,3x+2y+z=5 ?
The solution to x+8y-3z=7,-x+3y-2z=1,3x+2y+z=5 is x=(-7z-64)/(11)+7,y=(5z+8)/(11)