Question

Matt basketball team scores 103 points on a combination of 3 pointers, 2 point shots and 1 point shots. if 46 baskets were made and there are 9 more 2 point shots than 3 point shots, how many of each shot type was made?

Answer 1

t for three
d for two
e for one
3 t + 2 d + e = 103
t + d + e = 46
d = 9 + t
well, three equations and three unknowns, plug and chug
t + (9+t) + e = 46
3 t + 2(9+t) + e = 103
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subtract
-2 t +9-18 -t = - 57
-3 t = -48
t = 16
go back and get 2 and one pointers