Systems of Equations Answers

John flies from Atlanta, Georgia to San Francisco, California. It takes 5.6 hours to travel 2100 miles against the head wind. At the same time, Debby flies from San Francisco to Atlanta. Her plane travels with the same average airspeed, but with a tail wind, and her flight takes only 4.8 hours. Write a system of equations that relates time, airspeed, and wind speed to distance for each traveler. Solve the system to find the airspeed.

A motorboat can go 8 miles downstream on a river in 20 minutes. It takes 30 minutes for the boat to go upstream the same 8 miles. Find the speed of the current.

Solve the system of equations.y = 7x - 53y = -4x + 35

Mrs. Huang operates a soybean farm. She buys many supplies in bulk. Often the bulk products need to be custom mixed before Mrs. Huang can use them. To apply herbicide to a large field she must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution. How much of the 67% solution must she use?

Solve the system of equations.y = 6x + 13y = 2x + 1

Solve the system of equations.y = 5x - 8y = 4x - 7

Define variables and write systems of equations for the situation. Solve using substitution.Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?

The perimeter of the rectangle is 34 cm. The perimeter of the triangle is 30 cm. Find the value of n.

Solve the system of equations.y = 5x + 32y = -4x - 22

Solve the system by substitution. Check your solution.