In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals.Part ALet x represent the number of 2-point field goals and y represent the number of 3-point field goals. Write a system of equations in terms of x and y to model the situation.Enter your answer in the space provided. Enter only your system.{+−×÷yx=()
Question
In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from field goals.Part ALet x represent the number of 2-point field goals and y represent the number of 3-point field goals. Write a system of equations in terms of x and y to model the situation.Enter your answer in the space provided. Enter only your system.{+−×÷yx=()
Solution
The system of equations that represents this situation is:
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x + y = 16 (This represents the total number of field goals Marlene made)
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2x + 3y = 39 (This represents the total points Marlene scored from field goals)
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