In a basketball game John made a total of 17 shots, scoring a record of 43 points. Some of the shots were worth 2 points and the rest were 3 pointers..

Question

write a system of equations to determine how many of each shots were made.

 

Thx

Answer 1

Let x be the number of 2-point shots, and let y be the number of 3-point shots.

 

So first of all, the total number of shots is 17, so one equation is x + y = 17.

 

How many points did he score?  Well 2x is the number of points he scored from all his 2-point shots, and 3y is the number of points from his 3-point shots.  Since his total was 43, that makes another equation: 2x + 3y = 43.

 

So the system is

 

x + y = 17

2x + 3y = 43