How many solutions does this system have?
y = x + 5
y = -5x – 1
a) one
b) none
c) infinite
d) two

Well this does take some work on scratch paper but ill let you know that we have to plug these in to make one whole big equation 
lets do that!
x + 5 = -5x - 1 now add +1 to both sides of the equation 
   + 1 =       +1 it cancels out on the right side and we solve on the left 

x + 6 = -5x  Now lets subtract that(1x) from both sides 
-1x    = -1x ( if x stands alone, theres always an imaginary 1 right by it)
 now -5 - 1 = -6 so its -6x 
 6     =  -6x  Now divide both sides by -6 to isolate x to be alone 
÷-6   =  ÷6  It cancels out on the right side and we solve on the left
6 ÷ -6 = 0  so lets see what we have 
 0    =   x 
Since zero is still a number this means there is only 1 solution!
Answer = A.) one 
I hope this helps! 
and dont forget 2 
MARK ME BRIANLIEST! 
=)

The answer is