Q33 of 98 Page 310

Solve each of the following systems of equations using matrix method.

5x - y = - 7;


2x + 3z = 1;


3y – z = 5.



To find: - x , y , z


Given set of lines are : -


5x - y = - 7


2x + 3z = 1


3y - z = 5


Converting the following equations in matrix form,


AX = B



5R2 – 2R1



2R3 - 3R2



Again converting into equations we get


5x – y = - 7


2y + 15z = 19


- 47z = - 47


Z = 1


2y + 15 = 19


2y = 19 - 15


Y = 2


5x – 2 = - 7


5x = - 5


X = - 1


∴ x = - 1 , y = 2 , z = 1


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