Question

please help me!
find the variables:
x+2y-z=4
3x-y+2z=3
-x+3y+z=6

Answer 1

1. Substitution
2. Gaussian Elmination
3. Cramer's Rule

Answer 2

First, to solve for y, add the first and third equations.
x + 2y - z = 4
-x + 3y + z = 6

5y = 10
y = 2
Now plug it back in.
x + 4 - z = 4

x - z = 0

3x - 2 + 2z = 3

3x + 2z = 5

x - z = 0
3x + 2z = 5
Now can you solve this system of linear equations?

Answer 3

yes thank you for explaining!

Answer 4

np :)

Answer 5

@Logics, you may find it useful to look up the other two methods I mentioned. :) They both have their drawbacks and upsides, just as substitution does.

Answer 6

ok thank you :)