What is 2x+3y-6z=4,3x-2y-9z=-7,2x+5y-6z=8 ?

The solution to 2x+3y-6z=4,3x-2y-9z=-7,2x+5y-6z=8 is x=3z-1,y=2

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2x+3y-6z=4,3x-2y-9z=-7,2x+5y-6z=8

2 x + 3 y - 6 z = 4, 3 x - 2 y - 9 z = - 7, 2 x + 5 y - 6 z = 8

x = 3 z - 1, y = 2

Solution steps

2 x + 3 y - 6 z = 4 3 x - 2 y - 9 z = - 7 2 x + 5 y - 6 z = 8

Isolate

x

for

2 x + 3 y - 6 z = 4 : x = \frac{4 - 3 y + 6 z}{2}

Substitute

x = \frac{4 - 3 y + 6 z}{2}

[3 \cdot \frac{4 - 3 y + 6 z}{2} - 2 y - 9 z = - 7 2 \cdot \frac{4 - 3 y + 6 z}{2} + 5 y - 6 z = 8]

Simplify

[\frac{- 13 y + 12}{2} = - 7 2 y + 4 = 8]

Isolate

y

for

\frac{- 13 y + 12}{2} = - 7 : y = 2

Substitute

y = 2

[2 \cdot 2 + 4 = 8]

Simplify

[8 = 8]

For

x = \frac{4 - 3 y + 6 z}{2}

Expressing

x

in terms of

z

x = \frac{4 - 3 \cdot 2 + 6 z}{2}

Simplify

\frac{4 - 3 \cdot 2 + 6 z}{2} : 3 z - 1

x = 3 z - 1

The solutions to the system of equations are:

x = 3 z - 1, y = 2

4 x + y = 7, 2 y + 4 x = 12

0.1 x - 0.2 y = 2, x + y = 17

5 x = 4, + 2 y x + y = 12

15 x + 3 y = 0, - 2 x + 3 y = 2

3 x + 2 y = - 11, 7 x - 4 y = 9

What is 2x+3y-6z=4,3x-2y-9z=-7,2x+5y-6z=8 ?
The solution to 2x+3y-6z=4,3x-2y-9z=-7,2x+5y-6z=8 is x=3z-1,y=2