What is x+4y-8z=-8,4x+8y-z=76,8x-y-4z=110 ?

The solution to x+4y-8z=-8,4x+8y-z=76,8x-y-4z=110 is x=16,y=2,z=4

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x+4y-8z=-8,4x+8y-z=76,8x-y-4z=110

x + 4 y - 8 z = - 8, 4 x + 8 y - z = 76, 8 x - y - 4 z = 110

x = 16, y = 2, z = 4

Solution steps

x + 4 y - 8 z = - 8 4 x + 8 y - z = 76 8 x - y - 4 z = 110

Isolate

x

for

x + 4 y - 8 z = - 8 : x = - 8 - 4 y + 8 z

Substitute

x = - 8 - 4 y + 8 z

[4 (- 8 - 4 y + 8 z) + 8 y - z = 76 8 (- 8 - 4 y + 8 z) - y - 4 z = 110]

Simplify

[- 8 y + 31 z - 32 = 76 - 33 y + 60 z - 64 = 110]

Isolate

y

for

- 8 y + 31 z - 32 = 76 : y = - \frac{- 31 z + 108}{8}

Substitute

y = - \frac{- 31 z + 108}{8}

[- 33 (- \frac{- 31 z + 108}{8}) + 60 z - 64 = 110]

Simplify

[\frac{- 543 z + 3564}{8} - 64 = 110]

Isolate

z

for

\frac{- 543 z + 3564}{8} - 64 = 110 : z = 4

For

y = - \frac{- 31 z + 108}{8}

Substitute

z = 4

y = - \frac{- 31 \cdot 4 + 108}{8}

- \frac{- 31 \cdot 4 + 108}{8} = 2

y = 2

For

x = - 8 - 4 y + 8 z

Substitute

y = 2, z = 4

x = - 8 - 4 \cdot 2 + 8 \cdot 4

- 8 - 4 \cdot 2 + 8 \cdot 4 = 16

x = 16

The solutions to the system of equations are:

x = 16, y = 2, z = 4

3 x + 5 y = 2, 9 x - y = - 1

2 x + 6 y = 22, 5 x - 2 y = 4

x + y = 3, 2 x + y = 2

\frac{12}{x} + \frac{5}{y} = - \frac{13}{2}, \frac{18}{x} + \frac{7}{y} = - \frac{19}{2}

x + y = 3, 2 x + y = 3

What is x+4y-8z=-8,4x+8y-z=76,8x-y-4z=110 ?
The solution to x+4y-8z=-8,4x+8y-z=76,8x-y-4z=110 is x=16,y=2,z=4