The basketball team scored a total of 79 points last game. They made 35 shots, including 2-point shots and 3-point shots. How many 2-point shots did they make? How many 3-point shots did they make?
Let the number of 2 point shots made = N
Then the number of 3 points shots made = 35 - N
And we have this
2N + 3(35 - N) = 79 simplify
2N + 105 - 3N = 79 subtract 105 from each side
-1N = -26 divide throug by -1
N = 26 = the number of 2 point shots
35 - N = 35 - 26 = 9 = number of 3 point shots