How many solutions are there to the system of equations? 4x-5y=5 -0.08x+0.10y=0.10

We need to find the slopes and the y int and compare
4x- 5y = 5
-5y = -4x + 5
y = 4/5x - 1slope is 4/5, y int is -1

-0.08x + 0.10y = 0.10
0.10y = 0.08x + 0.10
y = 0.08x/0.10 + 1
y = 4/5x + 1...slope is 4/5. y int is 1

now comparesame slopes, different y int. 
this tells me that the lines are parallel and therefore do not intersect.
Therefore, there is 0 solutions.

learn this:
same slope, same y int = infinite solutions
same slope, different y int = no solutions
different slopes, different y int = one solution