3*x+7*y+1*z=307

4*x+10*y+1*z=411

asked by guest
on Oct 22, 2024 at 11:23 pm



You asked:

Solve the system of equations:\[\begin{aligned}3 x + 7 y + 1 z &= 307\\4 x + 10 y + 1 z &= 411\end{aligned}\]

MathBot Answer:

The system of equations has infinitely many solutions.

$$\begin{aligned}x &= \frac{193}{2} - \frac{3 z}{2}\\y &= \frac{z}{2} + \frac{5}{2}\end{aligned}$$

\(z\) is a free variable.

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