https://file.aiquickdraw.com/mathbot/file/17290914983710mgisq5j.jpg

The system of equations in the image is:

\[
y = -2x - 3
\]
\[
y = -2x + 2
\]

### Step 1: Analyze the equations
Notice that both equations have the **same slope** of \(-2\). This means that the two lines are **parallel**. When two lines are parallel, they never intersect.

### Step 2: Identify the number of solutions
Since the lines are parallel and do not intersect, there is **no solution** to the system of equations. This is an example of an **inconsistent system**.

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### Final Answer:
The correct option to select from the drop-down menu is:

\[
\boxed{\text{No solution}}
\]

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Do you need more help or further clarification?

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**Related questions:**
1. What does it mean when a system of equations has no solution?
2. How do you determine if two lines are parallel by comparing their equations?
3. What happens if two equations have the same slope and the same y-intercept?
4. How can you tell if a system has infinitely many solutions?
5. How do graphing errors affect the detection of parallel lines?

**Tip:** Two lines are parallel if they have the

A system of equations is given as y = -2x - 3 and y = -2x + 2. How many solutions does this system have?

This problem explores how to determine the number of solutions for a system of linear equations when both lines are parallel. The system y = -2x - 3 and y = -2x + 2 has no solution as the lines have the same slope but different y-intercepts.

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