Skills PracticeUsing Matrices to Solve Systems of Equations

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Chapter 4 59 Glencoe Algebra 2

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Write a matrix equation for each system of equations.

1. x � y � 5 2. 3a � 8b � 162x � y � 1 4a � 3b � 3

3. m � 3n � �3 4. 2c � 3d � 64m � 3n � 6 3c � 4d � 7

5. r � s � 1 6. x � y � 52r � 3s � 12 3x � 2y � 10

7. 6x � y � 2z � �4 8. a � b � c � 5�3x � 2y � z � 10 3a � 2b � c � 0x � y � z � 3 2a � 3b � 8

Solve each matrix equation or system of equations by using inverse matrices.

9. � � 10. � �

11. � � 12. � �

13. � � 14. � �

15. p � 3q � 6 16. �x � 3y � 22p � 3q � �6 �4x � 5y � 1

17. 2m � 2n � �8 18. �3a � b � �96m � 4n � �18 5a � 2b � 14

⎡15⎤⎣ 2⎦

⎡m⎤⎣n ⎦

⎡ 5 6⎤⎣12 �6⎦

⎡25⎤⎣12⎦

⎡ c⎤⎣d⎦

⎡3 12⎤⎣2 �6⎦

⎡15⎤⎣23⎦

⎡m⎤⎣n ⎦

⎡7 �3⎤⎣5 4⎦

⎡�1⎤⎣ 7⎦

⎡a⎤⎣b⎦

⎡5 8⎤⎣3 1⎦

⎡ 6⎤⎣�3⎦

⎡ x⎤⎣ y⎦

⎡4 3⎤⎣1 3⎦

⎡�7⎤⎣�1⎦

⎡w⎤⎣ z ⎦

⎡1 3⎤⎣4 3⎦