Solve the following system of linear equations by graphing. Use your Desmos calculator to graph them, and choose the answer that matches the solution. y = 5x + 3 y = 5x + 15 (1 point) Responses No solutions No solutions (3,5) (3,5) (5,3) (5,3) Infinite solutions

Answer 1

To solve the system of equations by graphing, let's look at the equations:

1. \( y = 5x + 3 \)
2. \( y = 5x + 15 \)

Both equations have the same slope (5), but different y-intercepts (3 and 15).

Due to having the same slope but different y-intercepts, these lines are parallel. Parallel lines never intersect, which means there are no points (x, y) that satisfy both equations at the same time.

Therefore, the conclusion is:

No solutions.