To determine how many solutions this system of equations has, we first need to analyze the two equations given:
1. y = 3 + 5x
2. y = 3 + 5x
Both equations are identical, which means they represent the same line on a graph. Since they are the same line, any point on this line is a solution to the system.
When two equations represent the same line, they have an infinite number of solutions because there are infinite points (x, y) that satisfy both equations. Therefore, this system of equations has infinitely many solutions.