https://file.aiquickdraw.com/mathbot/file/1727415898529ildk917f.jpg

The text extracted from the image is a bit unclear, especially with some mathematical symbols misinterpreted. Here’s the corrected version based on the provided image:

### Corrected Problem Statement:
**Solve the following simultaneous equations using Gaussian Elimination method:**
\[
\begin{cases}
4x - 2y + 3z = 1 \\
x + 3y - 4z = -7 \\
3x + y + 2z = 5
\end{cases}
\]

I'll solve this system of equations using the Gaussian Elimination method to find the values of \( x \), \( y \), and \( z \).The solution to the given system of equations using the Gaussian Elimination method is:

\[
x = 1, \quad y = 2, \quad z = 10
\]

If you have any questions or would like more details on the solution steps, feel free to ask!

### Related Questions:
1. How does Gaussian Elimination work in solving systems of equations?
2. What are some alternative methods to solve simultaneous equations?
3. Can Gaussian Elimination be used for systems with no or infinite solutions?
4. How do you handle matrix operations when the pivot element is zero?
5. What is the computational complexity of Gaussian Elimination?

**Tip:** Always check if the matrix is invertible before using Gaussian Elimination, as a non-invertible matrix might lead to no or infinite solutions.

Solve the following simultaneous equations using Gaussian Elimination method:
4x - 2y + 3z = 1
x + 3y - 4z = -7
3x + y + 2z = 5

Solve the system of equations using the Gaussian Elimination method: 4x - 2y + 3z = 1, x + 3y - 4z = -7, and 3x + y + 2z = 5. This problem illustrates key concepts in linear algebra and the Gaussian Elimination process, suitable for high school students.

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