6-1 Skills Practice Graphing Systems of Equations Use the graph at the right to determine whether each system is or and if it is consistent inconsistent independent or dependent. 1. = 1 2. = y x x y – – –4 = + 1 = + 4 y y x –x 3. = + 4 4. = 2x 3 y x y – 2x 2y = 2 2x 2y = 2 – – Graph each system and determine the number of solutions that it has. If it has one solution, name it. 5. 2x = 1 6. = 1 7. 3x + = y x y – –3 = 2x + = 4 3x + = 3 y y y –3 8. = + 2 9. + 3y = 10. = y x x –3 y – x –1 = 3y = + = 3 x y x x y – –2 – –3 11. = 3 12. + 2y = 4 13. = 2x + 3 x – y x y 2y = 3 = + 2 3y = 6x 6 x y x – –
6-1 Skills Practice Graphing Systems of Equations Use the graph at the right to determine whether each system is consistent or inconsistent and if it is independent or dependent. 1. y = x – 1 2. x – y = –4 y = –x + 1 y = x + 4 3. y = x + 4 4. y = 2x – 3 2x – 2y = 2 2x – 2y = 2 Graph each system and determine the number of solutions that it has. If it has one solution, name it. 5. 2x – y = 1 6. x = 1 7. 3x + y = –3 y = –3 2x + y = 4 3x + y = 3 8. y = x + 2 9. x + 3y = –3 10. y – x = –1 x – y = –2 x – 3y = –3 x + y = 3 11. x – y = 3 12. x + 2y = 4 13. y = 2x + 3 x – 2y = 3 y = x + 2 3y = 6x – 6