Abasketball player scored 12 times during one game. he scored a total of 22 points, two for each field goal and one for each free throw. how many field goals did he make? how many free throws?

This requires setting up 2 equations with 2 variables. Let's say fg is the number of field goals made and ft is the number of free throws made.

Since we know a field goal is 2 points and a free throw is 1 point, we know that:

2fg + 1ft = 22

Since we know he scored 12 times, we know that:

fg + ft = 12

Now you can just subtract the second equation from the first. This would leave you with:

fg = 10

So, he scored 10 field goals. Using our equations, that must mean that he scored 2 free throws.