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Name _______________________________________ Date ___________________ Class __________________ 5.2 - Practice B Solving Systems by Substitution Solve each system by substitution. Check your answer. y x 2 1. y 4 x 1 ____________________________ 2 x y 6 4. x y 3 ____________________________ 3 x 2y 7 7. x 3 y 5 ____________________________ y x 4 2. y x 2 ________________________ 2 x y 8 5. y x 7 ________________________ 2 x y 0 8. 5 x 3 y 11 ________________________ y 3x 1 3. y 5x 3 ________________________ 2 x 3 y 0 6. x 2y 1 ________________________ 1 1 2 x 3 y 5 9. 1 x y 10 4 ________________________ Write a system of equations to represent the situation. Then, solve the system by substitution. 10.The length of a rectangle is 3 more than its width. The perimeter of the rectangle is 58 cm. What are the rectangle’s dimensions? ____________________________________________________________ 11.Fiedler and Declan work in a men’s clothing store. They earn commission from each suit and each pair of shoes they sell. For selling 3 suits and one pair of shoes, Fiedler has earned $47 in commission. For selling 7 suits and 2 pairs of shoes, Declan has earned $107 in commission. How much do the salespeople earn for the sale of a suit? For the sale of a pair of shoes? ___________________________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date ___________________ Class __________________ 5.2 - Practice C Solving Systems by Substitution Solve each system by substitution. Check your answer. y x 6 1. y 2x 8 ____________________________ x y 3 4. x y 1 ____________________________ 4 x y 3.4 7. x 4y ____________________________ y x 4 2. y 2 x 5 y 2x 8 3. y 8 ________________________ 4 x 2y 2 5. y 6x 5 ________________________ 1 x y 1 6. 2 1 x y 3 ________________________ 1 x y 5 8. 4 3 x 2y 0 ________________________ 3 x y 10 9. 2x 3y 12 ________________________ ________________________ Solve. 10. The sum of two numbers is 39. The greater number is 5 less than 3 times the smaller number. What are the two numbers? _____________________________________ 11. Troy has dimes and quarters in his pocket. There are 28 coins in all, and they are worth $4.60 altogether. How many quarters does Troy have? _____________________________________ 12. At a pet store, Ricki paid $11.50 for 3 dog bowls and 4 bones. Tamra paid $13 for 2 dog bowls and 8 bones. How much will Andrew pay for 4 dog bowls and 2 bones? ______________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Name _______________________________________ Date ___________________ Class __________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1