The Pistons made 43 baskets during their last game, some 2-pointers and some 3-pointers. If they scored a total of 94 points from the field, how many of each type of basket did they make?

Respuesta :

Answer: they made 35 baskets from

2- pointers and 8 baskets from

3- pointers.

Step-by-step explanation:

Let x represent the number of baskets made from 2- pointers.

Let y represent the number of baskets made from 3- pointers.

The Pistons made 43 baskets during their last game, some 2-pointers and some 3-pointers. This means that

x + y = 43

If they scored a total of 94 points from the field, it means that

2x + 3y = 94 - - - - - - - - - - - -1

Substituting x = 43 - y into equation 1, it becomes

2(43 - y) + 3y = 94

86 - 2y + 3y = 94

- 2y + 3y = 94 - 86

y = 8

x = 43 - y = 43 - 8

x = 35