Question

Lincoln High schools basket ball team won the regional playoffs scoring a total of 60 points, not including free throws. The team made a total of 26 baskets; some were 2 points shots, and the rest were 3 point shots. How many 2 point shots did the team make ?

Answer 1

y = 8

x = 18

Explanation:

(x + y = 26) x2 -1

2x+3y = 60 -2

2x+2y = 52 -1

2x+3y = 60 -2

Subtracting equation 2 from equation 1

= -y = -8

= y = 8

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2x+3y = 60

= 2x+3x8 = 60

= 2x+24 = 60

= 2x = 60-24

= 2x = 36

= x = 36/2

= x = 18

Answer 2

Answer: 18

Explanation:

Let x be the number of 2 point baskets made and y be the number of 3 point baskets made

:

1) x + y = 26

:

2) 2x + 3y = 60

:

solve equation 1 for x and substitute in equation 2

:

x = 26 - y

:

2(26 - y) +3y = 60

:

52 -2y +3y = 60

:

y = 8

:

x = 26 - 8 = 18

:

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The team made 18 2-point shots