Answer:
(2, 7, 2)
Step-by-step explanation:
z=2, so we have:
x=2y-6z (this becomes x=2y-12)
-5x-2y=-24 (since there are no z's in this equation, we can't do anything.)
x-2y=-12
-5x-2y=-24
We can use the method of elimination to solve this system of equations, but first, to do that, we must multiply the top equation by -1
-x+2y=12
-5x-2y=-24
Now, the 2y and -2y can cancel out!
-6x=-12
x=2
If x=2, we can substitute that into this equation: x-2y=-12.
And we get: 2-2y=-12
Subtract 2: -2y=-14
y=7
Finally, we have our answer: x=2, y=7, z=2.
