The Lakers made 31 two-pointers and 6 three-pointers.
Step-by-step explanation:
Let " x " be the number of two-point shots made and let "y" be the number of three-point shots made.
The Lakers scored a total of 80 points:
2 x + 3 y = 80
The Lakers made a total of 37 baskets:
x + y =37
These two equations can be solved:
(1) 2 x + 3 y = 80
(2) x + y = 37
Equation (2) gives:
(3) x = 37 − y
Substituting (3) into (1) gives:
2 ( 37 − y ) + 3 y = 80
74 − 2 y + 3 y = 80
y = 6
Now let's just use the simpler equation (2) to get x :
x + y =37
x + 6 = 37
x = 31
Hence, the Lakers made 31 two-pointers and 6 three-pointers.