What is 2x+4y+z=23,6x+2y-z=35,4x-y+2z=19 ?

The solution to 2x+4y+z=23,6x+2y-z=35,4x-y+2z=19 is x=5,y=3,z=1

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2x+4y+z=23,6x+2y-z=35,4x-y+2z=19

2 x + 4 y + z = 23, 6 x + 2 y - z = 35, 4 x - y + 2 z = 19

x = 5, y = 3, z = 1

Solution steps

2 x + 4 y + z = 23 6 x + 2 y - z = 35 4 x - y + 2 z = 19

Isolate

x

for

2 x + 4 y + z = 23 : x = \frac{23 - 4 y - z}{2}

Substitute

x = \frac{23 - 4 y - z}{2}

[6 \cdot \frac{23 - 4 y - z}{2} + 2 y - z = 35 4 \cdot \frac{23 - 4 y - z}{2} - y + 2 z = 19]

Simplify

[- 10 y - 4 z + 69 = 35 - 9 y + 46 = 19]

Isolate

y

for

- 9 y + 46 = 19 : y = 3

Substitute

y = 3

[- 10 \cdot 3 - 4 z + 69 = 35]

Simplify

[- 4 z + 39 = 35]

Isolate

z

for

- 4 z + 39 = 35 : z = 1

For

x = \frac{23 - 4 y - z}{2}

Substitute

y = 3, z = 1

x = \frac{23 - 4 \cdot 3 - 1}{2}

\frac{23 - 4 \cdot 3 - 1}{2} = 5

x = 5

The solutions to the system of equations are:

x = 5, y = 3, z = 1

x - 3 y = 5, 7 x - 8 y = 6

5 x + 3 y = 35, 2 x + 4 y = 28

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

x + 3 y = 1, x = 3

3 x + 2 y = 19, 5 x - y = 18

What is 2x+4y+z=23,6x+2y-z=35,4x-y+2z=19 ?
The solution to 2x+4y+z=23,6x+2y-z=35,4x-y+2z=19 is x=5,y=3,z=1