y = 5x + 7
3y - 15x = 18
one solution, no solution, or infinite solutions
To determine the number of solutions, we need to solve the system of equations.
We have the equation: y = 5x + 7
Substituting y into the second equation, we get: 3(5x + 7) - 15x = 18
Simplifying, we get: 15x + 21 - 15x = 18
21 = 18
Since the equation 21 = 18 is not true, it means that there is no solution to the system of equations.
Therefore, the answer is: no solution.