Solution Sets of Simultaneous Equations Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Use the image to answer the question.

A parabola and a line plotted on a coordinate plane with the x-axis ranging from negative 5 to 5 and the y-axis ranging from 0 to 15.

How many solutions does this system of equations have?

(1 point)
Remaining Attempts : 3
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Answer 1

To determine how many solutions the system of equations has, you need to analyze the graph of the parabola and the line:

1. One Solution: If the line touches the parabola at exactly one point (this is called tangent).
2. Two Solutions: If the line intersects the parabola at two points.
3. No Solution: If the line does not intersect the parabola at all.

Without the specific image to reference, I would need you to describe the intersections:

• If you see two points where they intersect, the answer is two solutions.
• If there is one point where they touch, the answer is one solution.
• If they do not touch at all, the answer is no solutions.

Please provide a description of the intersection points or the general shape if you're unsure!