Refer to the graph below. The solution to the system of equations 3x - 7y = 24 and 2x + y = -1 is the point where the two lines intersect. If the x-coordinate of the intersection point is 1, what is the y-coordinate? y = ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify the y-coordinate of the solution to a system of linear equations when given the x-coordinate of the intersection point.
Key Concept Explanation
The solution to a system of equations is the set of all points that lie on all the graphs of the equations in the system. In this case, it is the intersection point where the two lines cross.
Step-by-step Solution
1. Given the x-coordinate of the intersection point is 1, examine the graph to find the corresponding y-coordinate.
2. Identify the y-coordinate of the intersection point, which is -3.
3. Verify the solution by substituting and
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