# How do you know if #x+2y=4# and #2x+4y=5# is consistent or inconsistent?

##### 1 Answer

Your system is inconsistent.

You can see this first by looking at it....at least for the

This means that the 2 lines, that represents graphically your equations, are PARALLEL!!! The independence of the free coefficients (

Then you can also try to substitute one equation into the other and you'll find a CONTRADICTION.

For example:

From the first:

You can also try to subtract one equation from the other (multiplied by a constant):

For example:

Which is again not true!