Systems by Substitution Worksheets Grade 8

1. A rectangular garden has a length that is 3 meters more than twice its width. The perimeter of the garden is 36 meters. Using the substitution method, find the dimensions of the garden.
2. 2x + 3y = 12 and y = x - 1
3. Hana is helping to organize the school library. She needs to sort new books onto shelves. She has a total of 144 books to place on two types of shelves: small shelves that hold 12 books each and large shelves that hold 24 books each. She uses a total of 9 shelves. How many small shelves and how many large shelves does Hana use?

…and 5 more problems

1. A rectangular garden has a length that is 5 meters more than twice its width. The perimeter of the garden is 46 meters. Using the substitution method, find the dimensions of the garden by setting up a system of equations where l represents the length and w represents the width.
2. 2x + 5y = 35; y = 3x - 10; x = ?
3. 2x + 3y = 12 and y = x - 1, find x and y

…and 5 more problems

1. 3x - 2y = 7; y = 2x - 5; x = ?
2. Isabella is organizing the school's recycling drive. She collects aluminum cans and plastic bottles. Each aluminum can weighs 2 ounces and each plastic bottle weighs 7 ounces. She has a total of 42 items collected, and their combined weight is 144 ounces. How many aluminum cans and how many plastic bottles did Isabella collect?
3. y = 5x - 10; 3x + 2y = 45; x = ?

…and 4 more problems