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

x - y = 3;


2x + 3y + 4z = 17;


y + 2z = 7.



To find: - x , y , z


Given set of lines are : -


x - y = 3


2x + 3y + 4z = 17


y + 2z = 7


Converting the following equations in matrix form,


AX = B



R2 – 2R1



2R3 - R2



Again converting into equations we get


X – y = 3


5y + 4z = 11


- 3y = 3


Y = - 1


5× - 1 + 4z = 11


4z = 16


Z = 4


X + 1 = 3


X = 2


x = 2 , y = - 1 , z = 4


1