solve the following system of equations

x+y+z=10

3x-y+2z=14

x-y+(1/2)z=2

asked by guest
on Nov 16, 2024 at 12:39 pm



You asked:

Solve the system of equations:\[\begin{aligned}x + y + z &= 10\\3 x - y + 2 z &= 14\\x - y + \frac{1}{2} \cdot z &= 2\end{aligned}\]

MathBot Answer:

The system of equations has infinitely many solutions.

$$\begin{aligned}x &= 6 - \frac{3 z}{4}\\y &= 4 - \frac{z}{4}\end{aligned}$$

\(z\) is a free variable.

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