Skills Practice Workbook - Glencoe

Skills Practice Workbook - Glencoe Skills Practice Workbook - Glencoe

24.02.2013 Views

16–1 Skills Practice Solve each system of equations by graphing. 1. y � x 2. y � 2x � 4 3. y � x � 1 y ��x � 2 (1, 1) y ��x � 1 (�1, 2) y ��x � 5 (�2, �3) y y � �x � 2 y � x O (1, 1) x (�1, 2) 4. y � x � 5 5. y � x � 4 6. y ��x y ��x � 1 (3, �2) y ��x � 2 (�3, 1) y ��3x � 4 (2, �2) O y y � �x � 1 y � x � 5 x (3, �2) 7. y � 2x � 1 8. y � x � 6 9. y � x � 1 y � 3x � 2 (�1, �1) y ��2x � 6 (4, �2) y ��x � 5 (3, 2) y y � 3x � 2 y � 2x � 1 O x (�1, �1) O 10. y � x � 5 11. y � x � 1 12. y ��x � 1 y ��3x � 1 (�1, 4) y � 2x � 4 (�3, �2) y ��2x � 5 (4, �3) y y � x � 5 (�1, 4) y � �3x � 1 O x NAME DATE PERIOD Solving Systems of Equations by Graphing © Glencoe/McGraw-Hill 91 Geometry: Concepts and Applications y y � 2x � 4 y y � x � 4 y � �x � 1 (�3, 1) x O x y � �x � 2 y y � �2x � 6 O (4, �2) y � x � 6 y y � 2x � 4 x y � x � 1 O x (�3, �2) y y � x � 1 O x (�2, �3) y � �x � 5 y y � �3x � 4 O y � �x y y � �x � 5 x (2, �2) (3, 2) O y � x � 1 O y x y � �2x � 5 y � �x � 1 (4, �3) x

16–2 NAME DATE PERIOD Skills Practice Solving Systems of Equations by Using Algebra Use substitution to solve each system of equations. 1. y � 7 2. y ��3 3. y � x x � 2y � 5 (7, �1) x � y � 8 (5, �3) 2x�y�15 (5, 5) 4. y � x � 7 5. y � x � 2 6. y � x � 1 2x � 3y � 19 3x � 2y ��4 4x � 3y � 4 (8, 1) (0, 2) (1, 0) 7. 3x � y � 2 8. �2x � y � 0 9. 4x � y � �13 2x � 2y � 8 3x � y � 4 2x � 3y � �11 (�1, 5) (4, 8) (�2, �5) Use elimination to solve each system of equations. 10. x � y � 7 11. x � y � 4 12. x � y ��3 x � y � 1 2x � y ��13 3x � y ��5 (4, 3) (�3, 7) (�2, �1) 13. x � y � 5 14. x � y ��2 15. x � y � 2 2x � y � 4 �2x � y ��1 �3x � y ��4 (3, �2) (3, 5) (1, 1) © Glencoe/McGraw-Hill 92 Geometry: Concepts and Applications

16–2<br />

NAME DATE PERIOD<br />

<strong>Skills</strong> <strong>Practice</strong><br />

Solving Systems of Equations by Using Algebra<br />

Use substitution to solve each system of equations.<br />

1. y � 7 2. y ��3 3. y � x<br />

x � 2y � 5<br />

(7, �1)<br />

x � y � 8<br />

(5, �3)<br />

2x�y�15 (5, 5)<br />

4. y � x � 7 5. y � x � 2 6. y � x � 1<br />

2x � 3y � 19 3x � 2y ��4 4x � 3y � 4<br />

(8, 1) (0, 2) (1, 0)<br />

7. 3x � y � 2 8. �2x � y � 0 9. 4x � y � �13<br />

2x � 2y � 8 3x � y � 4 2x � 3y � �11<br />

(�1, 5) (4, 8) (�2, �5)<br />

Use elimination to solve each system of equations.<br />

10. x � y � 7 11. x � y � 4 12. x � y ��3<br />

x � y � 1 2x � y ��13 3x � y ��5<br />

(4, 3) (�3, 7) (�2, �1)<br />

13. x � y � 5 14. x � y ��2 15. x � y � 2<br />

2x � y � 4 �2x � y ��1 �3x � y ��4<br />

(3, �2) (3, 5) (1, 1)<br />

© <strong>Glencoe</strong>/McGraw-Hill 92 Geometry: Concepts and Applications

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