2x - y + 6z - a = 7

2y + z + 7a = 8

asked by guest
on Nov 25, 2024 at 2:31 pm



You asked:

Solve the system of equations:\[\begin{aligned}2 x - y + 6 z - a &= 7\\2 y + z + 7 a &= 8\end{aligned}\]

MathBot Answer:

The system of equations has infinitely many solutions.

$$\begin{aligned}a &= - \frac{2 y}{7} - \frac{z}{7} + \frac{8}{7}\\x &= \frac{5 y}{14} - \frac{43 z}{14} + \frac{57}{14}\end{aligned}$$

\(y\) is a free variable.


\(z\) is a free variable.