SOLUTION: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables.
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Question 335175: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables.
In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
n = number of 2-point baskets
m = number of 3-point baskets
n + m = 11 >>>>> n = 11 – m
2n + 3m = 26
2(11 – m) + 3m = 26
22 – 2m + 3m = 26
22 + m = 26
m = 26 – 22 = 4, so n = 11 – 4 = 7
Will made 4 2-point baskets and 7 3-point baskets for 26 points
Check this result in the original equation(s), I did!
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