Question 310666: 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 ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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?
:
Let x = 3 pt shots
Let y = 2 pt shots
:
"He made a total of 11 shots," the equation for this:
x + y = 11
:
"Will scored 26 points, consisting only of three-point shots and two-point shots."
Equation for this statement:
3x + 2y = 26
:
We will use elimination, multiply the 1st eq by 2, subtract from the 2nd eq
3x + 2y = 26
2x + 2y = 22
---------------subtraction eliminates y, find x
x = 4 ea 3pt shots
:
Then obviously
y = 7 ea 2 point shots
;
:
Check solution: 4(3) + 7(2) = 26
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