(a)

Graph and then find the solution for
y=3 and x= -1

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To graph the equations \( y = 3 \) and \( x = -1 \), follow these steps:

  1. 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).
  2. 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:

  1. Lines:

    • \( y = 3 \): horizontal line at y = 3.
    • \( x = -1 \): vertical line at x = -1.
  2. Solution: The intersection point is \( (-1, 3) \).

You can plot these on a graph to visually confirm the intersection point.