2x+3y+4z=5
3x+4y+5z=6
4x+5y+6z=7
You asked:
Solve the system of equations:\[\begin{aligned}2 x + 3 y + 4 z &= 5\\3 x + 4 y + 5 z &= 6\\4 x + 5 y + 6 z &= 7\end{aligned}\]
MathBot Answer:
The system of equations has infinitely many solutions.
$$\begin{aligned}x &= z - 2\\y &= 3 - 2 z\end{aligned}$$
\(z\) is a free variable.