x+2y-3z=5
2x+4y+z=10
You asked:
Solve the system of equations:\[\begin{aligned}x + 2 y - 3 z &= 5\\2 x + 4 y + z &= 10\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}x &= 5 - 2 y\\z &= 0\end{aligned}$$
\(y\) is a free variable.