What is x+2y+z=3,2x-3y+2z=-15,3x+6y-7z=59 ?

The solution to x+2y+z=3,2x-3y+2z=-15,3x+6y-7z=59 is x=2,y=3,z=-5

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x+2y+z=3,2x-3y+2z=-15,3x+6y-7z=59

x + 2 y + z = 3, 2 x - 3 y + 2 z = - 15, 3 x + 6 y - 7 z = 59

x = 2, y = 3, z = - 5

Solution steps

x + 2 y + z = 3 2 x - 3 y + 2 z = - 15 3 x + 6 y - 7 z = 59

Isolate

x

for

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

Substitute

x = 3 - 2 y - z

[2 (3 - 2 y - z) - 3 y + 2 z = - 15 3 (3 - 2 y - z) + 6 y - 7 z = 59]

Simplify

[- 7 y + 6 = - 15 - 10 z + 9 = 59]

Isolate

y

for

- 7 y + 6 = - 15 : y = 3

[- 10 z + 9 = 59]

Isolate

z

for

- 10 z + 9 = 59 : z = - 5

For

x = 3 - 2 y - z

Substitute

y = 3, z = - 5

x = 3 - 2 \cdot 3 - (- 5)

3 - 2 \cdot 3 - (- 5) = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 3, z = - 5

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

19 x + 3 y = 5, 2 x + y = (r + 1)

3 x + 2 y = 8, x + 3 y = 5

4 x - y = 0, 3 x + 2 y = 12

\frac{x}{3} + y = 1, 2 x - 2 y = 0

What is x+2y+z=3,2x-3y+2z=-15,3x+6y-7z=59 ?
The solution to x+2y+z=3,2x-3y+2z=-15,3x+6y-7z=59 is x=2,y=3,z=-5