What is x+2y-3z=11,2x+y-2z=9,4x+3y+z=16 ?

The solution to x+2y-3z=11,2x+y-2z=9,4x+3y+z=16 is x=2,y=3,z=-1

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x+2y-3z=11,2x+y-2z=9,4x+3y+z=16

x + 2 y - 3 z = 11, 2 x + y - 2 z = 9, 4 x + 3 y + z = 16

x = 2, y = 3, z = - 1

Solution steps

x + 2 y - 3 z = 11 2 x + y - 2 z = 9 4 x + 3 y + z = 16

Isolate

x

for

x + 2 y - 3 z = 11 : x = 11 - 2 y + 3 z

Substitute

x = 11 - 2 y + 3 z

[2 (11 - 2 y + 3 z) + y - 2 z = 9 4 (11 - 2 y + 3 z) + 3 y + z = 16]

Simplify

[- 3 y + 4 z + 22 = 9 - 5 y + 13 z + 44 = 16]

Isolate

y

for

- 3 y + 4 z + 22 = 9 : y = - \frac{- 4 z - 13}{3}

Substitute

y = - \frac{- 4 z - 13}{3}

[- 5 (- \frac{- 4 z - 13}{3}) + 13 z + 44 = 16]

Simplify

[\frac{19 z - 65}{3} + 44 = 16]

Isolate

z

for

\frac{19 z - 65}{3} + 44 = 16 : z = - 1

For

y = - \frac{- 4 z - 13}{3}

Substitute

z = - 1

y = - \frac{- 4 ( - 1 ) - 13}{3}

- \frac{- 4 ( - 1 ) - 13}{3} = 3

y = 3

For

x = 11 - 2 y + 3 z

Substitute

y = 3, z = - 1

x = 11 - 2 \cdot 3 + 3 (- 1)

11 - 2 \cdot 3 + 3 (- 1) = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 3, z = - 1

5 x - y = 9, 2 x + 4 y = 8

0.28 x = ([1]), 9^{x - 4} = 6

4 x + 2 y + 3 z = 8, 3 x + 4 y + 2 z = - 1, 2 x - y + 5 z = 3

2 x + 3 y = 1, 4 - x + 5 y = - 7

x - y = - 1, - 2 x - y = 0

What is x+2y-3z=11,2x+y-2z=9,4x+3y+z=16 ?
The solution to x+2y-3z=11,2x+y-2z=9,4x+3y+z=16 is x=2,y=3,z=-1