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Answer:
20 two-pointer and 20 three-pointer
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 Rockets scored a total of 100 points:
2x + 3y = 100
The Rockets made a total of 40 baskets:
x + y = 40
These two equations can be solved:
(1) 2x + 3y = 100
(2) x + y = 40
Equation 2 gives:
(3) x = 40 - y
Substitute (3) into (1) - We will now use the equation 3 as the x
2 ( 40 - y) + 3y = 100
80 - 2y + 3y = 100
- 2y + 3y = 100 - 80
y = 20
We will now use equation 2 to find x:
x + y = 40
x + 20 = 40
x = 40 - 20
x = 20
In conclusion, the Rockets made 20 two-pointers and 20 three-pointers.
20 * 2 = 40
20 * 3 = 60
Total of 100 points