What is x-2y+3z=9,-x+3y-z=17 ?

The solution to x-2y+3z=9,-x+3y-z=17 is x=-7z+61,y=-2z+26

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x-2y+3z=9,-x+3y-z=17

x - 2 y + 3 z = 9, - x + 3 y - z = 17

x = - 7 z + 61, y = - 2 z + 26

Solution steps

[x - 2 y + 3 z = 9 - x + 3 y - z = 17]

Isolate

x

for

x - 2 y + 3 z = 9 : x = 9 + 2 y - 3 z

Substitute

x = 9 + 2 y - 3 z

[- (9 + 2 y - 3 z) + 3 y - z = 17]

Simplify

[y + 2 z - 9 = 17]

Isolate

y

for

y + 2 z - 9 = 17 : y = - 2 z + 26

For

x = 9 + 2 y - 3 z

Expressing

x

in terms of

z

x = 9 + 2 (- 2 z + 26) - 3 z

Simplify

9 + 2 (- 2 z + 26) - 3 z : - 7 z + 61

x = - 7 z + 61

The solutions to the system of equations are:

x = - 7 z + 61, y = - 2 z + 26

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

5 x + 2 y = 19, 6 x + 5 y = 28

4 p + 3 q - r = 8, 5 p - q + 3 r = 12, 6 p - 7 q + 4 r = 18

x + y = 20, 0 x - 40 = y

f (x) = 3, x^{4} x = - 1

What is x-2y+3z=9,-x+3y-z=17 ?
The solution to x-2y+3z=9,-x+3y-z=17 is x=-7z+61,y=-2z+26