2x+4y+6z=18
4x+7y+10z=24
4x+8y+12z=36
You asked:
Solve the system of equations:\[\begin{aligned}2 x + 4 y + 6 z &= 18\\4 x + 7 y + 10 z &= 24\\4 x + 8 y + 12 z &= 36\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}x &= z - 15\\y &= 12 - 2 z\end{aligned}$$
\(z\) is a free variable.