Question

What system of equations can be used to determine the number of goals and assists a soccer player has, given that they get 2 points for a goal and 1 point for an assist, with a total of 24 goals and assists and 42 points?

a. 9 + 2g - 24
b. 9 + 2a - 42
c. 0 = 9 - 24
d. 29 + a - 42

Answer 1

To determine the number of goals and assists a soccer player has, we can set up a system of equations using the given information. The equations are G + A = 24 and 2G + A = 42. Solve the system to find the values of G and A.

Step-by-step explanation:

To determine the number of goals and assists a soccer player has, we can set up a system of equations using the given information:

G = number of goals

A = number of assists

We know that 2 points are awarded for a goal and 1 point for an assist, and the total number of goals and assists is 24. Therefore, we can write the first equation:

G + A = 24

We also know that the total points earned is 42. Since 2 points are awarded for each goal and 1 point for each assist, we can write the second equation:

2G + A = 42

Now, we can solve this system of equations using any method (substitution, elimination, or graphing) to find the values of G and A