Dirk nowitzki of the dallas mavericks scored 44 points in a recent basketball game. he scored no 3-point shots, but made a number of 2-point field goals and 1-point free throws. he scored 30 times. how many 2-point shots did he make? how many free throws did he make?

X - 2-point field goals
y - 1-points field goals

2x + y = 44
x + y = 30

2x = 44 - y
y = 30 - x

2x = 44 - y
y = 30 - (22 - 1/2y)

2x = 44 - y
y = 30 - 22 + 1/2y

2x = 44 - y
1/2y = 8

2x = 44 - y
y = 16

2x = 44 - 16
y = 16

2x = 28
y = 16

x = 14
y = 16 

x + y = 30
14 + 16 = 30
L = R

2x + y = 44
28 + 16 = 44
44 = 44
L = R