WORD PROBLEMS
1. In a basketball game, Marlene made 16 field goals. Each of field goals were worth either 2 or 3 points, and Marlene scored a total of 39 points from field goals.
a. Let $x$ 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.

Answer

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Answer

$\boxed{x = 9}$ two-point field goals and $\boxed{y = 7}$ three-point field goals

Steps

Step 1 ：Write a system of equations: $x + y = 16$ and $2x + 3y = 39$

Step 2 ：Solve the system: $x = 9$ and $y = 7$

Step 3 ：$\boxed{x = 9}$ two-point field goals and $\boxed{y = 7}$ three-point field goals