kendramiller3965
14.12.2020 •
Mathematics
Gladys scored 42 points in a basketball game. She only took 2-point shots and 3-point shots. She made a total of 18 shots. Write a system of equations to find the number of 2-point shots and 3-point shots Gladys made. Let LaTeX: xx represent the number of 2-point shots and LaTeX: yy represent the number of 3-point shots that Gladys made.
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Ответ:
Number of 2-point shots taken = 12
Number of 3-point shots taken = 6
Step-by-step explanation:
Total number of points scored by Gladys = 42
Only 2-point and 3-point shots are taken by Gladys.
Let number of 2-point shots taken =
Let number of 3-point shots taken =
Total number of shots taken = 18
Therefore, first equation can be written as:
Total points scored = 42
Therefore, second equation can be written as:
System of equations is:
Using elimination method to solve the system of equations.
Multiplying equation by 2 then subtracting it from equation (2):
By equation (1):
Therefore, Number of 2-point shots taken = 12
Number of 3-point shots taken = 6
Ответ:
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