3 x + 9 Y + 0 z = -3

9 x + 83 y + 28 z = -65

0 x + 28 y + 14 z = -28

asked by guest
on Oct 21, 2024 at 2:40 am



You asked:

Solve the system of equations:\[\begin{aligned}3 x + 9 Y + 0 z &= -3\\9 x + 83 y + 28 z &= -65\\0 x + 28 y + 14 z &= -28\end{aligned}\]

MathBot Answer:

The system of equations has infinitely many solutions.

$$\begin{aligned}Y &= - \frac{z}{2} - 1\\x &= \frac{3 z}{2} + 2\\y &= - \frac{z}{2} - 1\end{aligned}$$

\(z\) is a free variable.

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