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The solution to the system of equations is:

\[
x = 2, \quad y = -2
\]

Would you like further details or explanations on the solving process?

Here are five related questions to expand on this:
1. How can you solve systems of equations using substitution?
2. What is the graphical interpretation of solving a system of linear equations?
3. Can systems of equations have no solution or infinitely many solutions? How can you tell?
4. How can the elimination method be used to solve systems of equations?
5. How does solving a system of equations differ in three variables versus two?

**Tip:** When solving systems of equations, checking the solution by substituting back into the original equations can help verify accuracy.

Solve the system of equations: 3x + 2y = 2 and 2x - 3y = 10.

This problem involves solving a system of linear equations: 3x + 2y = 2 and 2x - 3y = 10. Learn step-by-step how to solve using the elimination method and find x = 2 and y = -2. Ideal for students in Grades 9-11.

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