Mathematics
Senti739
12

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?

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(1) Answers
charl99

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

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