SOLUTION: In a basketball game Anya makes 14 baskets. Some of these baskets were worth 2-points and others were worth 3-points. In total she scored 30 points write a system of equations to f

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Question 457281: In a basketball game Anya makes 14 baskets. Some of these baskets were worth 2-points and others were worth 3-points. In total she scored 30 points write a system of equations to find how many 2-point baskets she made.
Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
let x = the number of 2-point baskets Anya made
y = the number of 3-point baskets Anya made
Equations:
x + y = 14
2x + 3y = 30
------------------------
Multiply the 1st equation by 3 to get:
3x + 3y = 42
Subtract above equation by 2nd equation to get:
(3x-2x) + (3y - 3y) = 42 -30
x = 12
Anya made 12 2-point baskets.