To solve the system of equations, we will substitute the value of z from the first equation into the second equation.
Given: z = 8 + t z - 2t + 2 = 5
Substituting the value of z into the second equation: (8 + t) - 2t + 2 = 5
Simplifying the equation: 8 + t - 2t + 2 = 5 8 - 2 + t = 5 - t 6 - t = -t + 5
Adding t to both sides of the equation: 6 = 5
Since this is not possible, it means that the system of equations is inconsistent and does not have a solution.
