How do I solve this equation????

I can do this with x and why, but this has x,y, and z. So i don't know how to solve this equation
Classify the system and determine the number of solutions.
x − 4y + 7z = 14
3x + 8y − 2z = 13
7x − 8y + 26z = 5

The same way you solve a system with 2 variables, it just takes longer.
add equation 2 & 3 and you will eliminate y from the equation, now you have one eq w/ 2 variables

Mult eq 1 by 2 and add it to eq #2 now you have a 2nd eq with two variables
solve them as you normally do for x & z, then pick any original eq and solve for y
you can check it by making sure y is the same for all 3 eq's

x is on it's own in the first one...what a help!!
so x=14+4y-7z
Plug this into the other two and solve simultaneously.
Then work out x from the above equation.
It'll take you about a minute.