Solve the system of equations by substitution.

y=5x
8x-3y=35

answer is (-5,-25) Show your work on why that is correct

First, we will substitute y=5x into the second equation.

8x - 3(5x) = 35
8x - 15x = 35
-7x = 35
x = -5

Now that we have found the value of x, we can substitute x=-5 back into the first equation to find the value of y.

y = 5(-5)
y = -25

Therefore, the solution to the system of equations is x = -5 and y = -25, which can be written as (-5, -25).