Systems of Equations Answers
Solve the system of equations.y = 6x - 27y = 4x - 17
Solve the system by substitution. Check your solution.
Solve the system of equations.y = 6x - 27y = 4x - 17
What is the last step to solving a system of equations by substitution?
The perimeter of the rectangle is 34 cm. The perimeter of the triangle is 30 cm. Find the value of m.
Solve the system of equations.y = -5x - 8y = 4x + 1
The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.
Solve the system of equations.y = 7x + 43y = 2x + 13
Suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. You have 12 coins, all quarters and dimes. Let q equal the number of quarters and d equal the number of dimes. Which system models the given information?
Solve the system of equations.y = -5x + 24y = 4x - 21
Solve the system by substitution. Check your solution.
Solve the system of equations.y = 7x - 9y = 7x + 7
The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.
Define variables and write systems of equations for the situation. Solve using substitution.Suppose you want to join a video store. Big video offers a special discount card that costs $9.99 per year. With the discount card, each video rental costs $2.49. A discount card from Main Street Video cost $20.49 per year. With the Main Street Video discount card, each video rental costs $1.79. After how many video rentals is the cost the same?
Solve the system by substitution. Check your solution.
A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water. Let s equal the families paddling speed and c represent the current
An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his six nephews and rented five pairs of ice skates. He was charged $32.00. Juanita paid the admission fees for her seven grandchildren and rented five pairs of ice skates. She was charged $35.25. What is the admission fee? What is the rental fee for a pair of skates?
Solve the system of equations.y = 7x - 9y = 7x + 7
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