Question

A field goal is 3 points and the extra point after a touchdown is 1 point. In a recent season, Dan Bailey of the Dallas Cowboys made a total of 66 field goals and extra point for 124 point. Find the number of field goals and extra points that he made.

Answer 1

A field goal is 3 points and the extra point after a touchdown is 1 point. In a recent season, Dan Bailey of the Dallas Cowboys made a total of 66 field goals and extra point for 124 point. Find the number of field goals and extra points that he made.

Explanation:

Answer 2

Find out the number of field goals and extra points that he made.

To prove

Let us assume that the number of field goals = x

Let us assume that the number of extra points = y

As given

A field goal is 3 points and the extra point after a touchdown is 1 point.

In a recent season, Dan Bailey of the Dallas Cowboys made a total of 66 field goals and extra point for 124 point.

Than the equation becomes

x + y = 66

3 + y = 124

subtracted x + y = 66 from 3x + y = 124

3x-x + y - y = 124 - 66

2x = 58

`x = (58)/(2)`

x = 29

put in the x + y = 66

29 + y = 66

y = 66 - 29

y = 37

Therefore the number of the field goals be 29 and the number of extra points be 37 .