Answer
There is one solution to the system.
$x=6$
$y=2$
$z=2$
Work Step by Step
By dividing both sides of Equation 3 by 3, we can conclude that $z = 2$. Substituting this value into Equation 2 gives us the equation $2y + 2 = 6$. We can then solve this to conclude that $y = 2$. Substituting this value into Equation 1 gives us the equation $x - 2 = 4$. We can then solve this to conclude that $x=6$.