Consider the following system of equations, . Use the elimination method to find the value of . The value of is ________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to use the elimination method to solve a system of linear equations. The focus is on manipulating the equations to eliminate one variable and solving for the other.
Key Concept Explanation
The elimination method involves adding or subtracting the equations to eliminate one of the variables, making it easier to solve for the remaining variable.
Step-by-step Solution
1. Multiply the first equation by 2:
2. The second equation remains as is:
3. Subtract the second equation from the first:
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