### Break Down the Problem
1. **Identify the nature of the lines**: Since the lines are not parallel, they will intersect at some point.
2. **Determine the number of solutions**: Understanding the intersection provides insight into the solutions of the system of equations.

### Relevant Concepts
1. **Intersecting Lines**: If two lines intersect, the system of equations has one unique solution at the point of intersection.
2. **Types of Solutions**:
- One solution: Lines intersect at one point.
- No solution: Lines are parallel and never intersect.
- Infinitely many solutions: Lines are the same (coincident).

### Analysis and Detail
Given that the lines are not parallel, it implies they must cross each other at a single point in the plane. Hence, there can only be one solution to the system of equations, defined as the coordinates of the point of intersection.

### Verify and Summarize
In this case, since the lines are confirmed not to be parallel, it is confirmed that there is indeed one point of intersection.

### Final Answer
A. One

Question

### Break Down the Problem
1. **Identify the nature of the lines**: Since the lines are not parallel, they will intersect at some point.
2. **Determine the number of solutions**: Understanding the intersection provides insight into the solutions of the system of equations.

### Relevant Concepts
1. **Intersecting Lines**: If two lines intersect, the system of equations has one unique solution at the point of intersection.
2. **Types of Solutions**:
   - One solution: Lines intersect at one point.
   - No solution: Lines are parallel and never intersect.
   - Infinitely many solutions: Lines are the same (coincident).

### Analysis and Detail
Given that the lines are not parallel, it implies they must cross each other at a single point in the plane. Hence, there can only be one solution to the system of equations, defined as the coordinates of the point of intersection.

### Verify and Summarize
In this case, since the lines are confirmed not to be parallel, it is confirmed that there is indeed one point of intersection.

### Final Answer
A. One

Knowee AI · Accepted Answer

### Break Down the Problem
1. **Identify the nature of the lines**: Since the lines are not parallel, they will intersect at some point.
2. **Determine the number of solutions**: Understanding the intersection provides insight into the solutions of the system of equations.

### Relevant Concepts
1. **Intersecting Lines**: If two lines intersect, the system of equations has one unique solution at the point of intersection.
2. **Types of Solutions**:
   - One solution: Lines intersect at one point.
   - No solution: Lines are parallel and never intersect.
   - Infinitely many solutions: Lines are the same (coincident).

### Analysis and Detail
Given that the lines are not parallel, it implies they must cross each other at a single point in the plane. Hence, there can only be one solution to the system of equations, defined as the coordinates of the point of intersection.

### Verify and Summarize
In this case, since the lines are confirmed not to be parallel, it is confirmed that there is indeed one point of intersection.

### Final Answer
A. One

The two lines graphed below are not parallel. How many solutions are there to the system of equations?A.OneB.TwoC.Infinitely manyD.Zero

Question

The two lines graphed below are not parallel. How many solutions are there to the system of equations?

Solution

Break Down the Problem

Relevant Concepts

Analysis and Detail

Verify and Summarize

Final Answer

Similar Questions

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