How many solutions dose this have y-5x=-6 3y-15x=-12

There are 0 solutions.

1) Bring the 2 equations to standard form:

y-5x = - 6 = > y=5x-6

3y-15x = - 12 = > y=5x-4

2) Looking at the standard equitation, we see by the slope of the 2 equations (5x) that the 2 equations are parallel, and therefore never intersects.

(When they ask for solutions, it's asking for how many times the equations intersect.)