a-2b+3c=0
2a+5b+6c=0
You asked:
Solve the system of equations:\[\begin{aligned}a - 2 b + 3 c &= 0\\2 a + 5 b + 6 c &= 0\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}a &= - 3 c\\b &= 0\end{aligned}$$\(c\) is a free variable.