What is 6x+12y-18z=12,64+6y+127=12,11x-3y-2=7 ?

The solution to 6x+12y-18z=12,64+6y+127=12,11x-3y-2=7 is x=-161/22 ,y=-179/6 ,z=-4553/198

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6x+12y-18z=12,64+6y+127=12,11x-3y-2=7

6 x + 12 y - 18 z = 12, 64 + 6 y + 127 = 12, 11 x - 3 y - 2 = 7

x = - \frac{161}{22}, y = - \frac{179}{6}, z = - \frac{4553}{198}

Solution steps

6 x + 12 y - 18 z = 12 64 + 6 y + 127 = 12 11 x - 3 y - 2 = 7

Isolate

y

for

64 + 6 y + 127 = 12 : y = - \frac{179}{6}

Substitute

y = - \frac{179}{6}

[11 x - 3 (- \frac{179}{6}) - 2 = 7 6 x + 12 (- \frac{179}{6}) - 18 z = 12]

Simplify

[11 x + \frac{175}{2} = 7 6 x - 358 - 18 z = 12]

Isolate

x

for

11 x + \frac{175}{2} = 7 : x = - \frac{161}{22}

Substitute

x = - \frac{161}{22}

[6 (- \frac{161}{22}) - 358 - 18 z = 12]

Simplify

[- 18 z - \frac{4421}{11} = 12]

Isolate

z

for

- 18 z - \frac{4421}{11} = 12 : z = - \frac{4553}{198}

The solutions to the system of equations are:

x = - \frac{161}{22}, y = - \frac{179}{6}, z = - \frac{4553}{198}

x + y = 1, 1 x - y = - 7

4 x + 2 y = 2, 2 x - 3 y = - 11

4 x + 5 y = 5, - 10 y - 4 x = - 7

8 x - 3 y = 9, x - 5 y = 1

4 a - 5 b = - 23, 2 a + b = - 1

What is 6x+12y-18z=12,64+6y+127=12,11x-3y-2=7 ?
The solution to 6x+12y-18z=12,64+6y+127=12,11x-3y-2=7 is x=-161/22 ,y=-179/6 ,z=-4553/198