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

4x-5y=5

-0.08x+0.10y=0.10

A) no solutions

B) One solution

C) two solution

D) an infinite number of solutions

B is not correct

Lets try and solve them : -

multiply the second equation by 50, we get:-

-4x + 5y = 5 Now the first equation is:-

4x - 5y = 5

adding these 2 equations:-

0 + 0 = 10 which is absurd so

The answer is No solutions