Question

Find the complete solution of the linear system or that it is inconsistent.

-x+8y+5z=6
x -2z=0
4x-8y-11z=3

Answer 1

if x-2z = 0 then x = 2z.

Now you can use x = 2z, in -x+8y+5z = 6 and 4x-8y-11z = 3.

You will get two equations with only y,z as the variables.

Hence solve for y,z.

Hence use x = 2z.