Solve the following system of linear equations by graphing. Use your Desmos calculator to graph them, and choose the answer that matches the solution.

Question

y = 5x + 3

y = 5x + 15

(1 point)
Responses

No solutions

(3,5)

(5,3)

Infinite solutions

Answer 1

To solve the system of equations by graphing, we can rewrite the given equations:

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

You can observe that both equations have the same slope (5), which means they are parallel lines. Since parallel lines never intersect, this system has no solutions.

You can confirm this by graphing the equations. They will appear as two parallel lines on the graph. Thus, the correct answer is:

No solutions.