3l+2m+5n+1o=x
1l-3m-2n+4o=y
4l+5m+9n-1o=z
You asked:
Solve the system of equations:\[\begin{aligned}3 l + 2 m + 5 n + 1 o &= x\\1 l - 3 m - 2 n + 4 o &= y\\4 l + 5 m + 9 n - 1 o &= z\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}l &= - n - o + \frac{5 y}{17} + \frac{3 z}{17}\\m &= - n + o - \frac{4 y}{17} + \frac{z}{17}\\x &= \frac{7 y}{17} + \frac{11 z}{17}\end{aligned}$$
\(n\) is a free variable.
\(o\) is a free variable.
\(y\) is a free variable.
\(z\) is a free variable.