Question

Match the correct solution to each system of equations graphed below. *Not all answers will be used. Place the correct solution beneath the graph it matches to. (4 points)
5
5
5
No solution
:: Infinitely many solutions
(1, 1)
(-1, 2)
:: (-1.5, 4.5)
::(0,-1)

Answer 1

To correctly match the solutions to the systems of equations graphed below, we need to analyze the characteristics of each potential solution:

1. If two lines in a graph are parallel, they will never intersect; thus, the system has **no solution**.
2. If two lines in a graph coincide perfectly (overlap), the system has **infinitely many solutions**.
3. If two lines intersect at a single point, that point is the solution to the system of equations.

Here are the possible solutions:
- (1, 1)
- (-1, 2)
- (-1.5, 4.5)
- (0, -1)
- No solution
- Infinitely many solutions

**Instructions to proceed:**
1. Look at each graph provided.
2. Determine the relationship between the lines.
3. Match the described relationship to the appropriate solution below the graph.

If you provide the details of the graphs or their characteristics, I'd be able to help you match the solutions accurately.