5.2 Exercises Check It Out Help with Homework BigIdeasMath com Vocabulary and Concept Check 1. WRITING Describe how to solve a system of linear equations by substitution. 2. NUMBER SENSE When solving a system of linear equations by substitution, how do you decide which variable to solve for in Step 1? 3. REASONING Does solving a system of linear equations by graphing give the same solution as solving by substitution? Explain your reasoning. Practice and Problem Solving Write a system of linear equations that has the ordered pair as its solution. Use a method from Activity 1 to solve the system. 5 . 6. Tell which equation you would choose to solve for one of the variables when solving the system by substitution. Explain your reasoning. 7. 2x + 3y = 5 8. ~x + 5y = -1 9. 2x + 10y = 14 4x - y = 3 x + 6y = 0 5x - 9y = 1 Solve the system of linear equations by substitution. Check your solution. 1 10. y = x - 4 11. y = 2x + 5 12. x = 2y + 7 y = 4x - 10 y = 3x - 1 3x - 2y = 3 13. 4x - 2y = 14 14. 2x = y - 10 15. 8x - y = zx-1 x + 7 =y 12x + 3 = y 16. SCHOOL CLUBS There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. a. Write a system of linear equations that represents this situation. b. How many students are in the drama club? the yearbook club? 17. THEATER A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. An adult ticket costs twice as much as a student ticket. a. Write a sys