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

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

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

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

x = - 8, y = 6, z = 9

Solution steps

x - y + z = - 5 x + 2 y = 4 y - z = - 3

Isolate

x

for

x + 2 y = 4 : x = 4 - 2 y

Substitute

x = 4 - 2 y

[y - z = - 3 4 - 2 y - y + z = - 5]

Simplify

[y - z = - 3 4 - 3 y + z = - 5]

Isolate

y

for

y - z = - 3 : y = - 3 + z

Substitute

y = - 3 + z

[4 - 3 (- 3 + z) + z = - 5]

Simplify

[- 2 z + 13 = - 5]

Isolate

z

for

- 2 z + 13 = - 5 : z = 9

For

y = - 3 + z

Substitute

z = 9

y = - 3 + 9

Simplify

y = 6

For

x = 4 - 2 y

Substitute

y = 6, z = 9

x = 4 - 2 \cdot 6

Simplify

x = - 8

The solutions to the system of equations are:

x = - 8, y = 6, z = 9

x + 3 y = 1, 2 - 2 x - 4 y = 24

4 x - 2 y = 4, 3 x - 2 y = 5

5 x + 4 y = 20, 8 x - 5 y = 15

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

3 x - 5 y - 4 = 0, 9 x - 2 y + 7 = 0

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