2x+4y+6z=18

4x+7y+10z=24

4x+8y+12z=36

asked by guest
on Oct 23, 2024 at 5:32 pm



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.