2x - y + 6z - a = 7
2y + z + 7a = 8
x + y + 3z + 4a = 8
-x -2y + 3z - a = 1
You asked:
Solve the system of equations:\[\begin{aligned}2 x - y + 6 z - a &= 7\\2 y + z + 7 a &= 8\\x + y + 3 z + 4 a &= 8\\-x - 2 y + 3 z - a &= 1\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}a &= 2 - z\\x &= 3 - 2 z\\y &= 3 z - 3\end{aligned}$$
\(z\) is a free variable.