Answer:
a = 32
b = Â 6
Step-by-step explanation:
Givens
a = number of 2 point baskets
b = number of 3 point baskets.
a + b = 38
2a + 3b = 82
Solution
a + b = 38 Â Â Â Â Â Â Â Â Â Â Â Â (1)
2a + 3b = 82 Â Â Â Â Â Â Â Â Â Â (2)
Multiply (1) by 2 and put the result under (2)
2a + 3b = 82
2a + 2b = 76 Â Â Â Â Â Â Â Â Â Â Â Â Subtract
b = 6
a + b = 38
a + 6 = 38               Subtract  6 from both sides
a + 6 - 6 = 38 - 6
a = 32