SOLUTION: jerry weller recevied 20,196 more votes than opponent john pavich. if the total number of votes was 196,554 find the number of votes for each candidate

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: jerry weller recevied 20,196 more votes than opponent john pavich. if the total number of votes was 196,554 find the number of votes for each candidate      Log On


   

Question 660520: jerry weller recevied 20,196 more votes than opponent john pavich. if the total number of votes was 196,554 find the number of votes for each candidate
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
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