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## In one basketball game, Zaid made 7 two-point and three-point baskets to score 17 points. Let x represent the number of two-point baskets, a

Question

In one basketball game, Zaid made 7 two-point and three-point baskets to score 17 points. Let x represent the number of two-point baskets, and y represent the number of three-point baskets. This situation can be represented by the system x+y=7 and 2x+3y=17 . How many of each type of basket did Zaid make?

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Mathematics
3 years
2021-08-09T17:32:28+00:00
2021-08-09T17:32:28+00:00 1 Answers
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## Answers ( )

Answer:y =three point score = 3

x = two point score = 4

Step-by-step explanation:this question can be solved using simultaneous equation

x + y = 7 eqn 1

2x + 3y = 17 eqn 2

Multiply eqn 1 by 2 to derive eqn 3

2x + 2y = 14 eqn 3

Subtract eqn 3 from 2 :

y = 3

Substitute for y in eqn 1

x + 3 = 7

x = 4