Question

What is the solution of the system of equations? 6x-2y = 4 -9x+3y = 12

Answer 1

We will have the following:

First, we solve both equations for y, that is:

$6x-2y=4\Rightarrow-2y=-6x+4$$\Rightarrow y=3x-2$

&

$-9x+3y=12\Rightarrow3y=9x+12$$\Rightarrow y=3x+4$

From this we can see that they are parallel lines, that do not share any common points, so there is no solution for the system.