-2g+4f+c=5
6g-4f+c=-97
You asked:
Solve the system of equations:\[\begin{aligned}-\left( 2 g \right) + 4 f + c &= 5\\6 g - 4 f + c &= -97\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}c &= - 2 g - 46\\f &= g + \frac{51}{4}\end{aligned}$$
\(g\) is a free variable.