A system of inequalities is given by and . The solution to this system is the region where both inequalities are satisfied. Write the coordinates of the point where the boundary lines intersect. _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the intersection point of two lines, which is a key step in solving systems of inequalities.
Key Concept Explanation
The key concept here is understanding that the intersection point of the boundary lines is a critical point in the solution region of the system of inequalities.
Step-by-step Solution
1. Set the equations equal to each other to find the intersection point:
2. Solve for :
3. Substitute
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