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Problem Solving (PS) | Weighted Average Algebraically?

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Is there a way to solve this problem using algebra:

"You score 80 on your mid term exam and 100 on your final exam. Only these two exams make up your final grade of 92. How heavily did your teacher weigh the final exam?"

The formula for weighted average is (Component 1)(Weighing 1) + (Component 2)(Weighing 2). I am not sure if we can use this to solve the question. The only method discussed in the prep book is the "teeter-totter" method. I believe it would be hard to use this
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