SOLUTION: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables. In a

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Question 311022: Translate the problem into a pair of linear equations in two vaiables. 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 texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = 3 point shots
Let y = 2 point shots
You have two variables, so you need two equations.

Equation 1: x + y = 11 (he made 11 shots in total)
Equation 2: 3x + 2y = 26 (he scored 26 points)

Use Eqn 1 to isolate for x:

x = 11-y

Substitute this value for x into Equation 2:

3(11-y) +2y = 26
33-3y+2y = 26
33-y=26
33-26=y
y=7

Use Eqn. 1 to find x.
x = 11-y
x = 11-7
x = 4

He had 4 three-pointers and 7 two-pointers.