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identify which matrix you would multiply both sides by to solve the system of equation above

|3 6|   |x|     |2|

        x      =

|2 7|    |y|    |3|    

  a. |1/3  1/6|     b. |1/2|    c. |7/9 -6/9|   d. |1/2 1/3|

      |1/2 1/7|         |1/3|        |-2/9 3/9|

 

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2 Answers

Robert gave you the right answer in terms of solutions for x and y.

The matrix that your problem is asking for is given by 

| 7/9  -6/9|

|-2/9  3/9 |

i.e. your answer is (C)

Using inverse matrix, the answer is (-4/9, 5/9).

|3 6| -1    |2|...........|-4/9|

............*.........  =

|2 7|        |3|............|5/9|

Comments

|3 6| -1

|2 7|

=

|7 -6|

|-2 3|/(3*7-6*2)

= c