Question

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists. G a = 24. G 2 a = 42. G a = 24. 2 g a = 42. G a = 42. G 2 a = 24. G a = 42. 2 g a = 24.

Answer 1

The player has a total of 18 goals scored and 6 assists made.

Equation

Equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of goals scored and y represent the number of assists. Since the combined goals and assist is 24, hence:

x + y = 24     (1)

Also:

2x + y = 42    (2)

From equation 1 and 2:

x = 18, y = 6

The player has a total of 18 goals scored and 6 assists made.

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