# Math Help - Gausselimination

1. ## Gausselimination

Solve the following linear systems

−3x+2y+z=−3
x+−2y+z=1
x+y−z=2

z=?
x=?
y=?

2. Originally Posted by sf1903
Solve the following linear systems

−3x+2y+z=−3
x+−2y+z=1
x+y−z=2

z=?
x=?
y=?
HI

$-3x+2y+z=-3$ ----- 1

$x-2y+z=1$ ------- 2

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

2+3 gives $2x-y=3$ ----- 4

1-2 gives $-4x+4y=-4 \Rightarrow -x+y=-1$ ---- 5

4+5 gives x=2 so now you can continue to look for y and z.