What is 8x+2y-4z=16,4x+10y+10z=-6,3x+8y+6z=18 ?

The solution to 8x+2y-4z=16,4x+10y+10z=-6,3x+8y+6z=18 is x=-256/39 ,y= 166/13 ,z=-419/39

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8x+2y-4z=16,4x+10y+10z=-6,3x+8y+6z=18

8 x + 2 y - 4 z = 16, 4 x + 10 y + 10 z = - 6, 3 x + 8 y + 6 z = 18

x = - \frac{256}{39}, y = \frac{166}{13}, z = - \frac{419}{39}

Solution steps

8 x + 2 y - 4 z = 16 4 x + 10 y + 10 z = - 6 3 x + 8 y + 6 z = 18

Isolate

x

for

8 x + 2 y - 4 z = 16 : x = \frac{8 - y + 2 z}{4}

Substitute

x = \frac{8 - y + 2 z}{4}

[4 \cdot \frac{8 - y + 2 z}{4} + 10 y + 10 z = - 6 3 \cdot \frac{8 - y + 2 z}{4} + 8 y + 6 z = 18]

Simplify

[9 y + 12 z + 8 = - 6 \frac{29 y + 30 z + 24}{4} = 18]

Isolate

y

for

9 y + 12 z + 8 = - 6 : y = \frac{- 12 z - 14}{9}

Substitute

y = \frac{- 12 z - 14}{9}

[\frac{29 \cdot \frac{- 12 z - 14}{9} + 30 z + 24}{4} = 18]

Simplify

[- \frac{39 z + 95}{18} = 18]

Isolate

z

for

- \frac{39 z + 95}{18} = 18 : z = - \frac{419}{39}

For

y = \frac{- 12 z - 14}{9}

Substitute

z = - \frac{419}{39}

y = \frac{- 12 ( - \frac{419}{39} ) - 14}{9}

\frac{- 12 ( - \frac{419}{39} ) - 14}{9} = \frac{166}{13}

y = \frac{166}{13}

For

x = \frac{8 - y + 2 z}{4}

Substitute

y = \frac{166}{13}, z = - \frac{419}{39}

x = \frac{8 - \frac{166}{13} + 2 ( - \frac{419}{39} )}{4}

\frac{8 - \frac{166}{13} + 2 ( - \frac{419}{39} )}{4} = - \frac{256}{39}

x = - \frac{256}{39}

The solutions to the system of equations are:

x = - \frac{256}{39}, y = \frac{166}{13}, z = - \frac{419}{39}

2^{a} = 3, 3^{b} = 4, 4^{c} = 5

x + 25 = 24 x + 105, x = 8

3 x - 5 y = 20, 6 x - 10 y = - 4

y - x = 6, 3 y + x = 22

x + y + z = 3, 2 x + 4 y + z = 4, 3 x - y - z = 1

What is 8x+2y-4z=16,4x+10y+10z=-6,3x+8y+6z=18 ?
The solution to 8x+2y-4z=16,4x+10y+10z=-6,3x+8y+6z=18 is x=-256/39 ,y= 166/13 ,z=-419/39