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 −22 points.
a. Write a system of equations that describes Clare and Noah's outcomes. Use to
represent the number of points for a goal and to represent the number of
points for a penalty

Respuesta :

6x+3y=6  and 8x+9y= -22  describes the outcomes of Clare and Noah.

Step-by-step explanation:

Let,

x represents the number of points for a goal.

y represents the number of points for a penalty.

Therefore,

6 goals = 6x

3 penalties = 3y

8 goals = 8x

9 penalties = 9y

According to given statment;

6x+3y=6    Eqn 1

8x+9y= -22   Eqn 2

6x+3y=6  and 8x+9y= -22  describes the outcomes of Clare and Noah.

Keywords: linear equation, variables

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Answer:

6x+3y=6  and 8x+9y= -22  describes the outcomes of Clare and Noah.

Step-by-step explanation: