Respuesta :

Given the following equations:

x = 3y + 5 (Eq. 1)

-5x + 15y = -25 (Eq. 2)

Let's find the solution using the Substitution Method:

x = 3y + 5 (Substitute to Eq. 2)

-5x + 15y = -25

-5(3y + 5) + 15y = -25

-15y + -25 + 15y = -25

0 - 25 = -25

-25 = -25

It appears that the given system has an infinite number of solutions.

Therefore, the answer is "infinitely many solutions".