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Name: _________________________ Period: ______ Date: _______ Solving Systems of Equations Solve using Graphing. Write the solution in the box as an ordered pair. 2. y = 3x + 4 3 x6 1. y = x + y = -4 5 1 x4 y= 5 Solve using substitution. Write the solution in the box as an ordered pair. 3. -3x + 3y = 4 4. x = y + 4 y=x+3 2x +y = 5 Solve using elimination. Write the solution in the box as an ordered pair. 5. 7x + 2y = 24 6. -2x + 3y = 15 -8x – 2y = -30 -6x + 6y = 18 Solve using the method of your choice. Write the solution in the box as an ordered pair. 7. 4x + 2y = 10 8. 6x – 2y = 10 x – y = 13 y = 3x – 5 _______9. What is the y-coordinate of the solution to the system displayed in the table? _______10. What is the x-coordinate of the solution to the system displayed in the table? A B C D A B C D 2 5 3 4 x 0 1 2 3 y 0 1 2 3 x 1 2 3 4 y 5 4 3 2 11. Set up the following system of equations. (DO NOT SOLVE.) On the first day of ticket sales a school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. -6 -4 -2 0 x -6 -4 -2 0 x -8 -6 -4 -2 y 10 6 2 -2 12. Set up the following system of equations. (DO NOT SOLVE.) Leo and Evan complete 45 Algebra problems together. Evan slacked off and completed 2 less than half of what Leo completed. Set up the systems of equations used to solve how much each one completed. 13. Which of the following ordered pairs is a solution to the system? y = 4x – 1 2x + y = 5 a) (0, -1) b) (2, 7) c) (1, 3) y -2 2 6 10