To solve this system of equations, we can substitute the value of z from the second equation into the first equation.
Substituting z = -7 - t into the first equation:
(-7 - t) - 2t + 2 = 4
Now, let's simplify and solve for t:
-7 - t - 2t + 2 = 4
Combine like terms:
-7 - 3t + 2 = 4
-3t - 5 = 4
Add 5 to both sides:
-3t = 9
Divide both sides by -3:
t = -3
Now, substitute the value of t into the second equation to find z:
z = -7 - (-3)
z = -7 + 3
z = -4
So, the solution to the system of equations is t = -3 and z = -4.
