Answer:To graph the system of linear equations x = -1 and y = 3x + 1, we can plot the equations on a coordinate plane to find their intersection point, which represents the solution. However, in this case, we can see that the first equation, x = -1, represents a vertical line passing through the point (-1, y), where y can take any value.
On the other hand, the second equation, y = 3x + 1, represents a line with a slope of 3 and a y-intercept of 1. We can plot this line on the same coordinate plane.
When we graph both equations, we find that the line y = 3x + 1 intersects the vertical line x = -1 at the point (-1, 2). Therefore, the solution to the system of linear equations is x = -1 and y = 2.
Here's an illustration of the graph:
yaml
Copy code
|
|
| *
| \
| \
-----|------\--
| \
| \
| *
|
|
|
In this graph, the vertical line represents x = -1, and the slanted line represents y = 3x + 1. The point of intersection is marked with an asterisk (*), which corresponds to the solution (-1, 2).
Explanation: