Solve the following system of equation by Gauss elimination method.
w+x+y = 3, −3w−17x+y+2z = 1, 4w−17x+8y−5z = 1, −5x−2y+z = 1

To solve the given system of equations using the Gauss elimination method, we need to perform row operations to transform the system into an upper triangular form and then use back-substitution to find the solution.

### Given System of Equations:
\[
\begin{aligned}
1. & \quad w + x + y = 3 \\
2. & \quad -3w - 17x + y + 2z = 1

Learn how to solve the system of equations w + x + y = 3, -3w - 17x + y + 2z = 1, 4w - 17x + 8y - 5z = 1, -5x - 2y + z = 1 using the Gauss elimination method. This problem involves linear algebra concepts and is suitable for college-level mathematics.

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