Question

Determine o valor de Z no sistema: 
2x - y - 3z = 3
-4x + 3y + 2z = 2
5y - 3z = 6

Answer 1

2x - y - 3z = 3
-4x + 3y + 2z = 2
5y - 3z = 6

2x - y - 3z = 3 .(2) ->

4x -2y -6z = 6
-4x + 3y + 2z = 2
y - 4z = 8 

y - 4z = 8     .(-5)
5y - 3z = 6  

-5y + 20z = -40
5y -3z = 6

17z = -34

z = 34/17

z = 2