Consider the system of equations: y = 3x - 4 and y = -x + 6. If you were to graph these equations, what would be the coordinates of their intersection point? (x, y) = _______.
Answer & Analysis
Analysis
Question Analysis
This question requires students to find the intersection point of two linear equations by solving the system algebraically or graphically.
Key Concept Explanation
The intersection point of two lines in a system of linear equations is the solution to the system. This point satisfies both equations simultaneously.
Step-by-step Solution
1. Set the equations equal to each other: .
2. Solve for : .
3. Substitute
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