A field goal is 3 points and the extra point after a touchdown is 1 point. a player made 21 field goals and extra point kicks for 49 points. Find the number of field goals and extra points that he made.
FG= x
extra point =y
=49
x+y=49
did i set up the equation correctly
you need an equation for the number of plays and the points for them:
x+y = 21
3x+y = 49
Yes, you set up the equation correctly. Let's break it down step by step:
Let x represent the number of field goals made by the player.
Let y represent the number of extra points made by the player.
According to the given information, a field goal is worth 3 points, so the total points from field goals would be 3x.
Similarly, an extra point is worth 1 point, so the total points from extra points would be y.
The total points made by the player is given as 49 points. So the equation can be set up as:
3x + y = 49
Therefore, based on the information provided, the equation you set up is correct.