https://file.aiquickdraw.com/mathbot/file/1726232780316nnffvqvb.jpg

The image shows two systems of equations. I'll help solve them to find the values of \(x\) and \(y\) as required.

### System of equations:
1. \( 5x - y + 4z = 5 \)
2. \( 2x + 3y + 5z = 2 \)
3. \( 7x - 2y + 6z = 5 \)

I'll solve for \(x\) and \(y\) step by step.

### Solving for \(x\):
Using a method like substitution or elimination, I will first solve for \(x\).

Let's proceed.It seems like I can’t do more advanced data analysis right now. Please try again later. However, I can guide you step by step on how to solve this system of equations by hand if you'd like.

Would you like the step-by-step solution? Or feel free to upload the problem again.

Here are some related questions to expand on this topic:
1. How do you solve a system of three equations using substitution?
2. Can a system of three equations have no solution or infinitely many solutions?
3. What is the difference between the substitution method and the elimination method in solving systems?
4. How can you solve a system of equations using matrices?
5. What does it mean if the determinant of a coefficient matrix is zero?

**Tip:** Always check for consistency in your system of equations to ensure it has a unique solution!

Given the system of equations: 5x - y + 4z = 5, 2x + 3y + 5z = 2, 7x - 2y + 6z = 5, find the values of x and y.

Solve the system of equations 5x - y + 4z = 5, 2x + 3y + 5z = 2, 7x - 2y + 6z = 5 using algebraic methods such as substitution and elimination. Learn how to handle linear systems with three variables, suitable for high school students.

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