Algebra-1

Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method. The given system can be solved by manipulating the equations to eliminate one of the variables.

Key Concept Explanation
The key concept here is the method of solving a system of equations by elimination. By multiplying the equations by appropriate factors and then adding or subtracting them, we can find the values of and that satisfy both equations simultaneously.

Step-by-step Solution
1. Multiply the second equation by 2: →
2. Add the new second equation to the first equation:
3. Simplify:
4. Solve for

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