How many solutions are there to the system of equations? {-4x - 5y = 5 -0.08x + 0.10y = 0.10} a) no solutions b)one solution c)two solutions d)an infinite number of solutions

The equations are not linearly independent, i.e. one equation cannot be transformed into the other by a simple numerical factor, so the system has exactly one solution.

Note:
equations are
-4x-5y=5(1)
-0.08x+0.10y=0.10(2)
If we attempt to multiply (2) by 50 to match the first coefficient:
50(2) =>
50(-0.08x+0.10y=0.10) =>
-4x+5y=5  (2a)
Since (2a) is not identical to (1), so we cannot transform (2) to (1) or vice versa by a simple numerical factor, hence the two equations are independent.