Question

A college football team scored 12 times in a game, for a total of 72 points. Each touchdown is worth seven points and each field goal is worth three points. Which system of equations below could be used to solve for x , the number of points the team scored from touchdowns, and y , the number of points the team scored from field goals?

Answer 1

To solve for the number of points the team scored from touchdowns (x) and the number of points the team scored from field goals (y), we can set up a system of equations based on the given information. The equations are 7x + 3y = 72 and x + y = 12.

To solve for the number of points the team scored from touchdowns (x) and the number of points the team scored from field goals (y), we can set up a system of equations based on the given information.

Let x be the number of touchdowns and y be the number of field goals.

We know that each touchdown is worth 7 points and each field goal is worth 3 points. So, the first equation is:

7x + 3y = 72

The second equation comes from the fact that the team scored 12 times in total:

x + y = 12

We now have a system of two equations that can be used to solve for x and y.