Writing and Solving Equations in Two Variables Answers

What is the value of x in the equation 8x – 2y = 48, when y = 4?

Which shows the correct solution of the equation, when ?

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?

What is the value of x in the equation , when ?

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?

What is the value of y in the equation 5x + 2y = 20, when x = 0.3?

An isosceles triangle in which the two equal sides, labeled x, are longer than side y.

What is the value of a in the equation , when ?

Malik’s solution to the equation , when , is shown below. What error did Malik make first when solving the equation ?

Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.Which equation can be used to find the number of times Maria hiked each trail?