Problema Solution

Solve applied problems by solving systems by 2 equations using substitution.

Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 50 points. They won 10 more games then they tied. How many wins and how many ties did the team have.

Answer provided by our tutors

Let x : wins and y : ties


2x + y = 65

x = y + 10


Substitute : 2(y + 10) + y = 65


2y + 20 + y = 65


3y + 20 = 65


3y = 45


y = 15 so 15 ties


x = y + 10 so x = 25 wins