To solve the system of equations by graphing, we can analyze the given equations:
- \( y = 5x + 3 \)
- \( y = 5x + 15 \)
Both equations are in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
From the equations:
- The slope (m) for both lines is 5, indicating they are parallel.
- The y-intercepts are different: the first equation intercepts the y-axis at 3, and the second at 15.
Since both lines are parallel and have different y-intercepts, they will never intersect. Therefore, there are no solutions to the system.
The correct response is:
No solutions