What is x-3y+2z=-3,5x+6y-z=13,4x-y+3z=8 ?

The solution to x-3y+2z=-3,5x+6y-z=13,4x-y+3z=8 is x=-2,y=5,z=7

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x-3y+2z=-3,5x+6y-z=13,4x-y+3z=8

x - 3 y + 2 z = - 3, 5 x + 6 y - z = 13, 4 x - y + 3 z = 8

x = - 2, y = 5, z = 7

Solution steps

x - 3 y + 2 z = - 3 5 x + 6 y - z = 13 4 x - y + 3 z = 8

Isolate

x

for

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

Substitute

x = - 3 + 3 y - 2 z

[5 (- 3 + 3 y - 2 z) + 6 y - z = 13 4 (- 3 + 3 y - 2 z) - y + 3 z = 8]

Simplify

[21 y - 11 z - 15 = 13 11 y - 5 z - 12 = 8]

Isolate

y

for

21 y - 11 z - 15 = 13 : y = \frac{11 z + 28}{21}

Substitute

y = \frac{11 z + 28}{21}

[11 \cdot \frac{11 z + 28}{21} - 5 z - 12 = 8]

Simplify

[\frac{16 z + 308}{21} - 12 = 8]

Isolate

z

for

\frac{16 z + 308}{21} - 12 = 8 : z = 7

For

y = \frac{11 z + 28}{21}

Substitute

z = 7

y = \frac{11 \cdot 7 + 28}{21}

\frac{11 \cdot 7 + 28}{21} = 5

y = 5

For

x = - 3 + 3 y - 2 z

Substitute

y = 5, z = 7

x = - 3 + 3 \cdot 5 - 2 \cdot 7

- 3 + 3 \cdot 5 - 2 \cdot 7 = - 2

x = - 2

The solutions to the system of equations are:

x = - 2, y = 5, z = 7

5 x - 3 y - z = 1, x + 4 y - 6 z = - 1, 2 x + 3 y + 4 z = 9

x + 3 y = 6, 5 x - 2 y = 13

49 x + 51 y = 499, 51 x + 49 y = 501

x + y = 4, x - y = 2

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

What is x-3y+2z=-3,5x+6y-z=13,4x-y+3z=8 ?
The solution to x-3y+2z=-3,5x+6y-z=13,4x-y+3z=8 is x=-2,y=5,z=7