Solve the system of equations using the elimination method. Given: . What is the value of ? _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method. The key is to eliminate one variable by adding or subtracting the equations.
Key Concept Explanation
The elimination method involves manipulating the equations to eliminate one of the variables, making it easier to solve for the other variable.
Step-by-step Solution
1. Observe the coefficients of in both equations: 5 and -5. These are opposites, so we can add the two equations to eliminate .
2. Add the equations:
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