5
QuizMultiple Choice

Solving Systems: Introduction to Linear Combinations

Question 5 • FL-1200700-Mathematics for College Algebra MIS

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 = 3,500x – y = 2,342Solve the system of equations. How many contemporary titles does Jarred have?

Answer
A
1,158
B
1,737
C
2,342
D
2,921

Explanation

Add the equations x + y = 3,500 and x − y = 2,342. The y terms cancel, giving 2x = 5,842, so x = 2,921. Jarred has 2,921 contemporary titles, which is choice D.

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