Analysis and Approaches for IBDP Maths Ebook 2 | Page 48

Your Practice Set – Analysis and Approaches for IBDP Mathematics
(b)
�x � 7y � 2z
� �3
�
�33y�11z
�22
33y�11z�
22
33y�11z�
22
1 2
y� z� A1
3 3
x �7y � 2z
� � 3
�1 2�
x � 7�
z � �� 2z
� �3
�3 3�
7 14
x � z � � 2 z � � 3
3 3
3x �7z �14 � 6z
� � 9
3x�5� z
A1
33y�11z�
22
33y�22 � 11z
3y�2�
z
Thus, the general solution is 3x �5 � 3y � 2 � z . A1
[3]
Exercise 13
1. Consider the following system of equations where a� .
x � 3y � 2z
� 3
2x � y � z �1
�x � 2y � az � 2
(a)
(b)
Find the value of a for which the system of equations does not have a unique
solution.
[4]
Consider the case where the system has a unique solution. Find the solution of the
system of equations.
[3]
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