Anya makes 14 baskets during her game. some of these baskets were worth 2 points and others worth 3 points. in total, she scored 30 points. write and solve a sy
Mathematics
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Question
Anya makes 14 baskets during her game. some of these baskets were worth 2 points and others worth 3 points. in total, she scored 30 points. write and solve a system of equations to find how many 2 pointes baskets she made
1 Answer

1. User Answers olemakpadu
Let the number of 2 points be x, and the number of 3 points be y.
Therefore x + y = 14 .....(i)
2*x + 3*y = 30 .....(ii)
x + y = 14
2x + 3y = 30
From (i), x = 14  y, substitute this into (ii)
2*(14  y) + 3y = 30
28  2y + 3y = 30
28 + y = 30
y = 30  28 = 2
y = 2,
x = 14  y = 14  2 = 12, x = 12.
The number of 2 points made were 12