Algebra-1

Question Analysis
This question tests the student's understanding of the Product of Powers Rule and their ability to solve a system of equations.

Key Concept Explanation
The Product of Powers Rule states that when multiplying two or more powers with the same base, you add their exponents. For any non-zero number and integers , , .

Step-by-step Solution
1. Start with the given equations: and .
2. Apply the Product of Powers Rule: . Therefore, .
3. Now we have a system of linear equations:

4. Solve the first equation for : .
5. Substitute into the second equation:

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