Math

In basketball, a free throw is 1 point and a field goal is either 2 or 3 points. In a recent season, Tim Duncan of the San Antonio Spurs scored a total of 1342 points. The total number of 2-point field goals and 3-point field goals was 517, and he made 305 of the 455 free throws that he attempted. Find the nu,ber of 2-point field goals and 3-point field goals Duncan made that season.

I just need to know the two equations and then I can solve it.

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  1. let the number of 2-pointers be x
    let the number of 3-pointers be y

    x+y = 517

    2x + 3y + 305 = 1342

    I got 514 2-pointers, only 3 3-pointers, and 305 free throws.

    These answers check out, but must be false data, only 3 threepointers per season would be pretty poor shooting.

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  2. The data for Tim Duncan are probably correct. He plays center most of the time, and occasionally plays power forward. In these positions, he very seldom gets a chance to shoot from beyond the three point line, and probably would not want to if he did. So far in the 2007-2008 season, he has taken only one three-point shot, and missed it.

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  3. 5x=3y+567

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  4. 6

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