9514 1404 393
Answer:
Step-by-step explanation:
Let a, b, c represent the number of 1-point, 2-point, and 3-point goals, respectively.
a +2b +3c = 861 . . . . . . total number of points
b = 2c -65
a = b -33
Substituting for a, then b, we have ...
(b -33) +2b +3c = 861
3b +3c = 894 . . . . . . . . . . add 33, collect terms
b +c = 298 . . . . . . . . . . . . divide by 3
(2c -65) +c = 298 . . . . . . substitute for b
3c = 363 . . . . . . . . . . . . . add 65
c = 121 . . . . . . . . . . . . . . . divide by 3
b = 2(121) -65 = 177
a = 177 -33 = 144
Sarah Wilson made ...
