SOLUTION: The yankees are playing the red sox and alex rodregous(for the Yankees) hit a 3 run home run and they win by 3. Togethr there scores equal 31. What is the score of each team? Can

Algebra ->  Probability-and-statistics -> SOLUTION: The yankees are playing the red sox and alex rodregous(for the Yankees) hit a 3 run home run and they win by 3. Togethr there scores equal 31. What is the score of each team? Can      Log On


   

Question 183829: The yankees are playing the red sox and alex rodregous(for the Yankees) hit a 3 run home run and they win by 3. Togethr there scores equal 31. What is the score of each team? Can you solve this in 3 ways using a system please.
Answer by halbren(10) About Me  (Show Source):
You can put this solution on YOUR website!
The total runs scored is 31
The yankees win by 3 runs
If the Yankees score x runs and the Redsox score y runs we get
x%2By=31
x-y=3
ADDITION Method
if we add the equations together we get
2x=34
x=17
Substitute back
17-y=3
y=14
SUBSTITUTION METHOD
x%2By=31
x-y=3
Solve second equation for x
x=y%2B3
Substitute into first equation
y%2B3%2By=31
2y%2B3=31
2y=28
y=14
x=y%2B3=14%2B3=17
SUBTRACTION METHOD
x%2By=31
x-y=3
Subtract second equation from first
2y=28
y=14
Substitute back
x%2B14=31
x=17