Question 840580
5x-y-1=0 ... Start with the second equation


5x-(5x-1)-1=0 ... replace y with 5x-1 (since y = 5x-1)


5x-5x+1-1=0 ... distribute


0x+0=0 ... Combine like terms


0+0 = 0


0 = 0


Since that last equation is always true, this means that there are infinitely many solutions. 


This means that the system is consistent and dependent.