What is x+3y+6z=19,2x-3y+3z=2 ?

The solution to x+3y+6z=19,2x-3y+3z=2 is x=-3z+7,y=-z+4

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Solve using Gaussian Elimination x+3y+6z=19 2x-3y+3z=2

x + 3 y + 6 z = 19, 2 x - 3 y + 3 z = 2

x = - 3 z + 7, y = - z + 4

Solution steps

[x + 3 y + 6 z = 19 2 x - 3 y + 3 z = 2]

Isolate

x

for

x + 3 y + 6 z = 19 : x = 19 - 3 y - 6 z

Substitute

x = 19 - 3 y - 6 z

[2 (19 - 3 y - 6 z) - 3 y + 3 z = 2]

Simplify

[- 9 y - 9 z + 38 = 2]

Isolate

y

for

- 9 y - 9 z + 38 = 2 : y = - z + 4

For

x = 19 - 3 y - 6 z

Expressing

x

in terms of

z

x = 19 - 3 (- z + 4) - 6 z

Simplify

19 - 3 (- z + 4) - 6 z : - 3 z + 7

x = - 3 z + 7

The solutions to the system of equations are:

x = - 3 z + 7, y = - z + 4

n, n + 1 = 4 (n - 8)

r, r + 5 (- 2 r - 10) \leq - 4 r - 1 + 6 r

10.25%

11.5%

2 x^{2} - x - 4 = 0

What is x+3y+6z=19,2x-3y+3z=2 ?
The solution to x+3y+6z=19,2x-3y+3z=2 is x=-3z+7,y=-z+4