Solve the system of equations using the elimination method. Given: . If the solution is (x, y), then 2x - 3y = ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method and then evaluate a given expression with the solution values.
Key Concept Explanation
The elimination method involves adding or subtracting the equations to eliminate one of the variables, solving for the remaining variable, and then substituting back to find the other variable.
Step-by-step Solution
1. Observe the coefficients of the variables in the given system: and .
2. To eliminate , multiply the first equation by 2: .
3. Add the second equation to this new equation: .
4. Simplify: , so .
5. Substitute
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