Systems of linear equations

I am I exactly on the following:

A 2X2 system of formula without remedy will resemble this:

x+3y=3
2x+6y =-8
1/2 + 3/6 ≠ 3/8

A 2X2 system of formulas with in limited remedies will resemble this:

x +2y=4
2x+4y=8
1/2 + 2/4 =4/8

A 2X2 system of formulas with one-of-a-kind remedy will resemble this

x  -y= 1
3x +2y=12

This is due to the fact that they are multiples of each various other?

Many thanks!