Consider the system of equations: . The solution is (x, y) = (____, ____).
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a system of linear equations using basic algebraic methods. The given system can be solved by adding and subtracting the equations to eliminate one of the variables.
Key Concept Explanation
The key concept here is the method of solving a system of equations by elimination. By adding and subtracting the equations, we can find the values of and that satisfy both equations simultaneously.
Step-by-step Solution
1. Add the two equations:
2. Simplify:
3. Solve for :
4. Substitute
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