Question

Clare and Noah play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty. Clare makes 6 goals and 3 penalties, ending the game with 6 points. Noah earns 8 goals and 9 penalties and ends the game with -42 points. Write equations and solve for how much goals and penalties are worth.

Answer 1

Answer:

goal=6

panalty= -10

Step-by-step explanation:

6g+3p=6.    <---- multipilly by -3

8g+9p= -42

-18g - 9p = -18

8g+9p=-42

= -10g = -60

goals are worth 6 points

than you would plug the 6 back in either equation

6(6)+3p= 6

36 + 3p = 6

-36.           -36

3p=-30

p=-10

so panalties are worth -10 points