Solve the system of equations using the elimination method: . The value of is ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method and to find the value of a variable after eliminating another.
Key Concept Explanation
The elimination method involves adding or subtracting the equations to eliminate one variable, then solving for the remaining variable.
Step-by-step Solution
1. Observe the coefficients of : In the first equation, the coefficient is ; in the second, it is (opposites).
2. Add the two equations to eliminate :
3. Simplify: →
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