Question

The lakers scored a total of 80 points in a basketball game against the bulls. the lakers make a total of 37 two-point and three-point baskets. how many two-point shots did the lakers make

Answer 1

To answer the item, we let x be the number of 2-point baskets and y be the 3-point basket, respectively. The system of linear equations that would allow us to express the given mathematically is,

    x + y = 37
   2x + 3y = 80

To determine the values of the variables, express x of the first equation in terms of y.
    x = 37 - y

Substituting this to the second equation,

 2(37 - y) + 3y = 80

The value of y from the equation is 6. 

    x = 37 - 6 = 31

Answer: 31 two-point baskets