What is x+y+2z=-1,2x-y+2z=-4,4x+y+4z=-2 ?

The solution to x+y+2z=-1,2x-y+2z=-4,4x+y+4z=-2 is x=1,y=2,z=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 1, y = 2, z = - 2

Solution steps

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

Isolate

x

for

x + y + 2 z = - 1 : x = - 1 - y - 2 z

Substitute

x = - 1 - y - 2 z

[2 (- 1 - y - 2 z) - y + 2 z = - 4 4 (- 1 - y - 2 z) + y + 4 z = - 2]

Simplify

[- 3 y - 2 z - 2 = - 4 - 3 y - 4 z - 4 = - 2]

Isolate

y

for

- 3 y - 2 z - 2 = - 4 : y = - \frac{2 z - 2}{3}

Substitute

y = - \frac{2 z - 2}{3}

[- 3 (- \frac{2 z - 2}{3}) - 4 z - 4 = - 2]

Simplify

[- 2 z - 6 = - 2]

Isolate

z

for

- 2 z - 6 = - 2 : z = - 2

For

y = - \frac{2 z - 2}{3}

Substitute

z = - 2

y = - \frac{2 ( - 2 ) - 2}{3}

- \frac{2 ( - 2 ) - 2}{3} = 2

y = 2

For

x = - 1 - y - 2 z

Substitute

y = 2, z = - 2

x = - 1 - 2 - 2 (- 2)

- 1 - 2 - 2 (- 2) = 1

x = 1

The solutions to the system of equations are:

x = 1, y = 2, z = - 2

63 x - 14 y = 75, 66 x + 14 y = 210

9 x + 6 y = 51, 14 x - 7 y = 14

x + \frac{6}{y} = 6, 3 x - \frac{8}{y} = 5

x + y = 10, x = y + 4

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

What is x+y+2z=-1,2x-y+2z=-4,4x+y+4z=-2 ?
The solution to x+y+2z=-1,2x-y+2z=-4,4x+y+4z=-2 is x=1,y=2,z=-2