Question

Hockey rankings. Hockey teams receive 2 points for a win and 1 point for a tie. The Wildcats once won a championship with 60 points. They won 9 more games than they tied. How many wins and how many ties did the Wildcats have?

Answer 1

2w+t=60
&
w-9=t

Answer 2

solve the system of equations

Answer 3

Let (W) equal to the number of games won

Let (T) equal to the number of games tied

(W=T+9)

As for the points

2 times W+1timesT= 60

The expression for (W) in the 1st equation for (W) in the 2nd equation

2 times (T+9) +T=60

2T +18 +T=60

3T=42

T=14

Since

(W=T+9)

(W=14+9)

(W=23)

Checking

(2timesW+1timesT=60)

2times 23+1times14=60

46+14=60

(60=60) like this

Answer 4

exactly

Answer 5

so its right!

Answer 6

yup

Answer 7

ty