Solving Systems: Introduction to Linear Combinations: Quiz

What is the solution to this system of linear equations? 2x + y = 1 3x - y = -6

A. (-1, 3)

What is the solution to this system of linear equations? x − 3y = −2 x + 3y = 16

A. (7, 3)

The solution to the system of equation below is (−2, −1). 2x − 3y = −111x − 9y = −13 When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10. Which system of equations will also have a solution of (−2, −1)?

A. 5x= −10 11x − 9y= −13

What is the solution (q, r) to this system of linear equations? 12q + 3r = 15 -4q - 4r = -44

B. (-2, 13)

What is the solution to this system of linear equations? 2x + 3y = 3 7x - 3y = 24

C, (3, -1)

What is the solution (a, b) to this system of linear equations? 3a+6b=45 2a-2b=-12

C. (1, 7)

Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown. q + d=190.25q + 0.1d=4 How many quarters does she have?

C. 14

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold?

D. 15

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?

D. 2, 921

What is the x-value in the solution to this system of linear equations? 2x − y = 11 x + 3y = −5

D. 4