Question 660520
x = jerry's votes
y = john's votes

x = y + 20196
x + y = 196554

Substitute the x into the second equation
(y+20196)+y=196554
2y + 20196 = 196554
2y + 20196 - 20196 = 196554 - 20196
2y = 176358
2y/2 = 176358/2
y = 88179 votes for John

x = 88179 + 20196 = 108375 votes for Jerry

Proof
88179 + 108375 = 196554