# math

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a basketball player scored 17 timea during one game. He scored a total of 28 pts,two for each two-pt shot and one for each free throw. How many two-pt shots did he make? How many free throws?
How many two-pt shots did he make? simplify

• math -

let x = 2-pt shots and y = free throws

x + y = 17, therefore x = 17-y

2x + y = 28

Substitute 17-y for x in second equation and solve for y. Insert that value into the first equation and solve for x. Check by inserting both values into the second equation.

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