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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.

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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

[tex]x = \frac{58}{2}[/tex]

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 .


Answer:

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.

Step-by-step explanation: