How many solutions are there to the following system of equations?

Lets simplify these equations into slop-intercept form (y=mx+b)

When we do that, the equations turn to

y=-6x/24+10/6  or y=-1/4*x+5/3
y=-2x/8+7/8      or y=-1/4*x+7/8

When you do this, you see that the slope (m) is the same. This means that they are parallel lines. That means these lines will never meet, which means there will be no solution

What the heck don’t understand