Afield 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  

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 = 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 .