math 980 homework 4

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One application of ‘Systems of Equations’ is the concept of the number of two point baskets and the number of three point baskets made by a team in a basketball game. . On Monday, March 28, 2016, the Utah Jazz defeated the Los Angeles Lakers by 48 points. The Jazz tied their franchise’s largest margin of victory and the Lakers tied their largest loss in franchise history. Because Math 0980 covers systems of equations in two variables, we will disregard the number of free throws made by each team (the Lakers made two more than the Jazz) and focus on the number of 2 point baskets and 3 point baskets made by each team.

1.The Jazz made a total of 46 baskets accounting for 109 points. Using ‘x’ and ‘y’ as the variables, write an equation representing how many 2 point baskets and how many 3 point baskets the Jazz made. For example, if x = the number of 2 point shots and y = the number of 3 point shots, an equation might look like x+y=10. Leave NO spaces in the equation.

2.Using the information from problem 1, write an equation representing how many points the Jazz made. Leave NO spaces in the equation.

3.Using the equations from questions 1 and 2, solve the system of equations to determine the number of two point baskets make by the Jazz.

4.Using the equations from questions 1 and 2, solve the system of equations to determine the number of three point baskets make by the Jazz.

5.The Lakers made a total of 26 baskets accounting for 59 points. Using ‘x’ and ‘y’ as the variables, write an equation representing how many 2 point baskets and how many 3 point baskets the Lakers made. Leave NO spaces in the equation.

6.Using the information from problem 5, write an equation representing how many points the Lakers made. Leave NO spaces in the equation.

7.Using the equations from questions 5 and 6, solve the system of equations to determine the number of two point baskets make by the Lakers.

8.Using the equations from questions 5 and 6, solve the system of equations to determine the number of three point baskets make by the Lakers.