Applications of Linear Systems

• No solution

• Infinitely Many Solutions

• (5,20)

• (2,8)

• No Solution

• Infinitely Many Solutions

• (0,2)

• (0,11)

During a sale at the local department store, you buy three sweatshirts and two pairs of sweatpants for $85.50. Later you return to the same store and buy three more sweatshirts and four more pairs of sweatpants for $123. What is the sale price of each sweatshirt?

You are getting ready to move and have asked some friends to help. For lunch, you buy the following sandwiches at the local deli for $30: six tuna sandwiches and six turkey sandwiches. Later at night, everyone is hungry again and you buy four tuna sandwiches and eight turkey sandwiches for $30.60. What is the price of each turkey sandwich?

The cost of 4 apples and 3 bananas is $2.10. Two apples and 2 bananas cost $1.30. Find the cost of each apple.

One plane at 520 feet is ascending at a rate of 40 feet per minute, while another plane at 3800 feet is descending at a rate of 120 feet per minute. How many minutes will it take the two planes to be at the same altitude?

(Hint: the system will be in the form of y=mx+b)