Question

A high school basketball team scored 60 points in last week's game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make? x + y = 27, 2x + 3y = 60 What is the solution of the system of equations, and what does it represent?

Answer 1

c:(21, 6); 21 two-point shots and 6 three-point shots

Explanation:

Answer 2

Two point shots = 21

Three points shots= 6

Explanation:

Given that the systems of equation is given as

x + y = 27-----------1

2x + 3y = 60-------2

we need to solve for x and y

multiply eqn 1 by 2

2x + 2y = 54

- 2x + 3y = 60

0-y=-6

y=6

put y=6 in eqn 1 we have

x+6=27

x=27-6

x=21