Algebra-1

Question Analysis
This question evaluates 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 2 to align the coefficients of :
3. Add the first equation to the modified second equation to eliminate :