Question

A basketball player scored 13 times during one game. She scored a total of 22 ​points, two for each​ two-point shot and one for each free throw. How many​ two-point shots did she ​make? How many free​ throws?

Answer 1

x=number of 2 point
y=number of 1 points

total is 13 times so
x+y=13

and total of 22 points
2x+1y=22

so we got
x+y=13
2x+y=22
multiply first equation by -1 and ad to 2nd

-x-y=-13
2x+y=22 +
1x+0y=9

x=9

so
x+y=13
9+y=13
minus 9
y=4

9 of the 2 pointers and 4 free throws