Solve the system of equations using the elimination method. Given:. The solution to the system is (x, y) = ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the elimination method to solve a system of linear equations. The key step is to add the two equations to eliminate one variable, in this case, .
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 other variable.
Step-by-step Solution
1. The coefficients of in the two equations are opposites (-3 and 3).
Add the two equations to eliminate :
Simplify: , so
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