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Algebra 2 SUBSTITUTION Worksheet Solve each system using the substitution method. x3 1. 2. 2y x 3 3. x 2y 3 2x 4 y 6 4. Name________________ Date_________________ y x 12 x 1 y 3x y 6 yx2 Define the variables, write an equation and solve. 5. Kate is three years older than Paula. 6. Find two numbers whose sum is The sum of their ages is 25. 64 and whose difference is 42. How old are each of the girls? Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solutions or infinitely many solutions. y 4x x 4 y y x 1 7. 8. 9. 3 x 2 y 20 x y 5 x y 3 10. 13. x 5y 4 3 x 15 y 1 4x y 0 x 2 y 7 11. 14. x 4y 8 2 x 5 y 29 x 5 y 10 2 x 10 y 20 12. 15. 1 y 2 2 x 4 y 21 x x 6 y 18 2 x 3 y 24 16. An investor decides to buy two different types of stock in a company, Class-A and Class-B. The investor buys a total of 800 shares worth $3200. One Class-A share costs $4.75 and one ClassB share costs $2.25. How many shares of each type did the investor buy?