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.