Solve the system of equations and find the value of :. 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. The goal is to find the value of .
Key Concept Explanation
The key concept here is the elimination method, which involves manipulating the equations to eliminate one variable, thus simplifying the system to a single equation in one variable.
Step-by-step Solution
1. Start with the given system of equations:
2. Multiply the second equation by 3 to align the coefficients of :
3. Add the first equation to the modified second equation to eliminate :
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