Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.

x + y = 3,500

x - y = 2,342

Solve the system of equations. How many contemporary titles does Jarred have?

Question

Mathematics

Gisselle Moon

28 August, 14:36

Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.

x + y = 3,500

x - y = 2,342

Solve the system of equations. How many contemporary titles does Jarred have?

+3

Answers (1)

Know the Answer?

Jovanni Garrett · Answer 1

X+y=3500

y=3500-x and

x-y=2342, using y found above in this equation yields:

x-3500+x=2342 combine like terms on left side

2x-3500=2342 add 3500 to both sides

2x=5842 divide both sides by 2

x=2921

So Jarred has 2921 contemporary titles.