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The solution to the system of equations is:

\[
x = -3, \quad y = 10
\]

Would you like further details or clarifications?

Here are 5 related questions for further exploration:
1. How can you solve systems of equations using substitution?
2. What are the steps to solve a system using the elimination method?
3. Can you solve this system graphically and verify the solution?
4. How would you solve this system if you added another equation (i.e., a 3-variable system)?
5. How does solving a system of linear equations differ from solving a system of nonlinear equations?

**Tip:** It's often useful to check your solution by substituting the values of \(x\) and \(y\) back into the original equations.

Find the solution to the system of linear equations: -13y + 11x = -163 and -8x + 7y = 94. Learn how to apply the elimination method to solve for x and y. Suitable for students in Grades 9-11.

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