SOLUTION: James scored 19 times during one basketball. He scored a total of 28 points, two for each field goal and one for each free-throw. How many field goals did he make? How many free-th

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Question 462157: James scored 19 times during one basketball. He scored a total of 28 points, two for each field goal and one for each free-throw. How many field goals did he make? How many free-throws?
a) define one variable for the number of field goals made. another variable for the free-throws.
b) write an expression that represents the total points made from field goals. another one for free-throws.
c) write an equation that describes the number of times that James scored during the game. write an equation for the total score.

Answer by graphmatics(170) (Show Source):
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a) Let x be the number of field goals and y be the number of free-throws.
b) The total points from field goals is 2*x.
The total points from free-throws is y
c) The number of times that James scored during the game is x+y = 19.
Because he scored a total of 28 points 2*x+y = 28
So we will need to solve the linear system of equations
x+y = 19
2*x+y = 28

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