Question

The rules of a game allow a team to score either 2 points or 5 points, depending on the nature of the scoring play. If the final score between two teams was 34 to 29, and there were 18 scoring plays altogether, how many 5-point plays were there?

(Use only the digits 0 – 9 to enter a number.)

Answer 1

9

Explanation:

for this we make systems of equations

x= 2 points plays

y= 5 points play

2x+5y=34+29

2x+5y=63

x+y=18

-y. -y

x=18-y

2(18-y)+5y=63

36-2y+5y=63

16+3y=63

-36. -36

3y=27

/3. /3

y=9

hopes this helps