To graph the equations \( y = 3 \) and \( x = -1 \), follow these steps:
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Graph \( y = 3 \):
- This is a horizontal line where the y-coordinate is always 3. It runs parallel to the x-axis and crosses the y-axis at (0, 3).
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Graph \( x = -1 \):
- This is a vertical line where the x-coordinate is always -1. It runs parallel to the y-axis and crosses the x-axis at (-1, 0).
Next, to find the solution of the system of equations \( y = 3 \) and \( x = -1 \):
The solution is the point where these two lines intersect.
- The intersection point is found by taking the values from both equations:
- From \( y = 3 \), we get \( y \).
- From \( x = -1 \), we get \( x \).
Thus, the solution is the point \( (-1, 3) \).
Summary:
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Lines:
- \( y = 3 \): horizontal line at y = 3.
- \( x = -1 \): vertical line at x = -1.
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Solution: The intersection point is \( (-1, 3) \).
You can plot these on a graph to visually confirm the intersection point.