y = 5x + 7

Question

3y - 15x = 18
infinite solutions, no solutions or one solution

Answer 1

To determine whether the system of equations has infinite solutions, no solutions, or one solution, we need to solve the system.

We can start by solving the second equation for y in terms of x:
3y - 15x = 18
3y = 15x + 18
y = 5x + 6

Now we can compare this equation to the given equation:
y = 5x + 6

The two equations are equal to each other, so they represent the same line. This means that the system has infinite solutions.

Therefore, the answer is infinite solutions.