Answer:
To solve this system of equations, we can start by using the first equation to solve for x:
2x = 20
Divide both sides by 2:
x = 10
Now we can substitute this value of x into the second equation and simplify:
y = x + z + 12
y = 10 + z + 12
y = z + 22
Finally, we can use the third equation to solve for z:
-2x - 2z = 22
Substitute x = 10:
-2(10) - 2z = 22
Simplify:
-20 - 2z = 22
Add 20 to both sides:
-2z = 42
Divide both sides by -2:
z = -21
Now we can substitute this value of z back into our equation for y:
y = z + 22
y = -21 + 22
y = 1
So the solution to the system of equations is:
x = 10
y = 1
z = -21