Systems by Substitution Worksheets Grade 8

1. 2x + 3y = 12 and y = x - 1, find x and y
2. y = 3x - 5; 5x + 2y = 45; x = ?
3. Sophia is helping to organize a school book fair. She needs to order paperback books and hardcover books. Each paperback costs $8 and each hardcover costs $14. She has a total budget of $292 and wants to order exactly 26 books in total. How many paperback books and how many hardcover books should Sophia order?

…and 5 more problems

1. Mason is organizing a school carnival and needs to determine how many game booths and food stalls to set up. Each game booth requires 2 volunteers to run it, and each food stall requires 4 volunteers. Mason has a total of 48 volunteers available. Additionally, he wants to have exactly 18 booths and stalls combined. How many game booths and how many food stalls should Mason set up?
2. y = 4x - 9; 5x + 2y = 21; x = ?
3. Mere is helping to organize a school craft fair. She needs to buy two types of yarn: wool yarn costs $6 per skein, and cotton yarn costs $4 per skein. She has a budget of $108 and wants to buy exactly 22 skeins of yarn in total. How many skeins of wool yarn and how many skeins of cotton yarn should Mere buy?

…and 5 more problems

1. Charlotte is helping her school organize a book fair. She needs to order fiction and nonfiction books. Fiction books cost $9 each and nonfiction books cost $14 each. The school has a budget of exactly $330 for books. Charlotte also knows that the total number of books ordered must be exactly 30. How many fiction books and how many nonfiction books should Charlotte order to spend the entire budget?
2. 3x - 2y = 16; y = 2x - 10; x = ?
3. Matiu is helping to organize the school's sports equipment. He needs to sort basketballs and soccer balls. Each basketball weighs 2 kilograms, and each soccer ball weighs 1 kilogram. The total weight of all the balls is 74 kilograms. If there are 48 balls in total, how many basketballs and how many soccer balls are there?

…and 5 more problems