Answer:
Step-by-step explanation:
let x = the number of votes of the first person
winner = x + 4000
x+ x+4000 = 6000
2x=2000
x=1000
first person = x = 1000
winner = x+4000 = 5000
The winner got 5000 votes
Given

first, convert

to base 25 to match the other term.



Substitute above identity into original equation:

Use substiution

above equation becomes
2/u-3u=1
multiply by u and solve for u:

=> u=2/3 or u=-1
case A:. u=2/3 =>

=>

case B: u=-1 =>
which does not give a real solution, so reject.
See graph below for confirmation of solution.