jarred sells dvds. his inventory shows that he has a total of 3,500 dvds. he has 2,342 more contemporary…

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? 1,158 1,737 2,342 2,921

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? 1,158 1,737 2,342 2,921

Answer

Explanation:

Step1: Add the two equations

Adding $x + y=3500$ and $x - y = 2342$ eliminates $y$. $(x + y)+(x - y)=3500 + 2342$ $2x=5842$

Step2: Solve for $x$

Divide both sides of $2x = 5842$ by 2. $x=\frac{5842}{2}=2921$

Answer:

2,921