Question

Test the consistency of the following system x+6y=9, 3x+18y=6.

Answer 1

The equations are

$x+6y=9\\ 3x+18y=6$

Multiplying the first equation by 3 we get 3x+18y=27

From second equation we get 3x+18y=6. Therefore 6=27 from last paragraph, which is not true.

Hence the system of equation is inconsistent.