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3. In a recent NBA game, the Miami Heat scored 79 points on a combination of 35 two- & three-point baskets. How many two-point shots were made and how many three- pointers were made?

Sagot :

x = two points shots

y= 3 point shots

x + y = 35

2x+3y = 79

Solve the first equation for x:

x = 35-y

Replace the value of x in the second equation, and solve for y

2 (35-y) + 3y =79

70-2y+3y = 79

-2y+3y = 79-70

y= 9

Replace y=9 in the first equation, and solve for x

x+y= 35

x+9 =35

x =35-9

x = 26

Two point shots = 26

Three point shots = 9

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