What is the solution of the pair of equation y = 0 and y = - 3?

Answer

To solve the pair of equations \( y = 0 \) and \( y = -3 \), we can analyze them step by step.

### Step 1: Understand the Equations
The first equation is \( y = 0 \). This represents a horizontal line on the Cartesian plane where the y-coordinate is always 0. This line is essentially the x-axis.

The second equation is \( y = -3 \). This represents another horizontal line where the y-coordinate is always -3.

### Step 2: Graph the Equations
To visualize these equations, we can plot them on a graph:
- The line \( y = 0 \) (the x-axis) runs horizontally through the origin (0,0).
- The line \( y = -3 \) runs horizontally through the point (0, -3).

### Step 3: Analyze the Graph
When we plot these two lines, we can see that:
- The line \( y = 0 \) is the x-axis.
- The line \( y = -3 \) is a horizontal line that is parallel to the x-axis and located 3 units below it.

### Step 4: Determine the Intersection
Since both lines are horizontal and parallel to each other, they will never intersect.

### Conclusion
Therefore, there is no solution to the pair of equations \( y = 0 \) and \( y = -3 \) because the lines do not meet at any point.

### Final Answer
**No solution** (the lines are parallel and do not intersect).

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