Gary made 5 baskets than susan this season bill made 3 less then twice as many baskets as susan. together, all three made 42 baskets. how many baskets did they each make

Gary made 15 baskets.

Susan made 10 baskets.

Bill made 17 baskets.

Step-by-step explanation:

Let x represent the number of baskets that Gary made.

Let y represent the number of baskets that Susan made.

Let z represent the number of baskets that Bill made.

Gary made 5 baskets than Susan this season. This means that

x = y + 5

Bill made 3 less than twice as many baskets as Susan. This means that

z = 2y - 3

Together, all three made 42 baskets. This means that

x + y + z = 42 - - - - - - - - - - 1

Substituting x = y + 5 and z = 2y - 3 into equation 1, it becomes

y + 5 + y + 2y - 3 = 42

4y + 2 = 42

4y = 42 - 2 = 40

y = 40/4 = 10

x = y + 5 = 10 + 5

x = 15

z = 2y - 3 = 2 × 10 - 3

z = 20 - 3 = 17