How many solutions does a system of equation have

The system of equation has infinitely many solutions.

Step-by-step explanation:

To know the number of solution the system of equation is having, we will first solve, we can solve this system of equation either by elimination or substitution method or both method to. In this case, we will be using substitution method to solve.

y = -6x + 3 (1)

30x + 5y   = 15 (2)

We will substitute equation (1) in equation (2)

That is we will replace any y in equation (2) by -6x + 3

30x + 5(-6x + 3)  = 15

We go ahead and open the  bracket

30x -30x  + 15 =15

     15 = 15 ( which is true)

This shows that the system of equation has infinitely many solutions.