Consider the following system.
x+2y-3z=4
-x-y+5z=-1
2x + 5y-4z=11
Choose the best description of its solution.
If applicable, give its solution.

Let's analyze the given system of equations:

\[
\begin{align*}
1. & \quad x + 2y - 3z = 4 \\
2. & \quad -x - y + 5z = -1 \\
3. & \quad 2x + 5y - 4z = 11
\end{align*}
\]

To solve the system, we can use either substitution, elimination, or matrix methods. Here, I will use the elimination method.

### Step 1: Add the first and second equations to eliminate \(x\).
\[
(x + 2y - 3z) + (-x - y + 5z) = 4 + (-1)
\]
This simplifies to:
\[
y + 2z = 3 \quad \text{(Equation 4)}
\]

### Step 2: Add the first equation to twice the second equation to eliminate

Learn how to solve the system of linear equations: x + 2y - 3z = 4, -x - y + 5z = -1, 2x + 5y - 4z = 11 using the elimination method. This problem covers basic concepts of systems of equations and is suitable for high school students.

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