The fenton college cougars made 40 field goals in a recent basketball game some 2 pointers and the rest 3 pointers. altogether the 40 baskets counted for 89 points. how many of each type of field goal was made?

X = 2 pointers, y = 3 pointers

x + y = 40x = 40 - y
2x + 3y = 89

2(40 - y) + 3y = 89
80 - 2y + 3y = 89
-2y + 3y = 89 - 80
y = 9 <=== there were 9 three-point shots

x = 40 - y
x = 40 - 9
x = 31 <=== there were 31 two-point shots