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1. 3x-2y=24
2. 6x-4y=-6
Note that we can write the first equation as -2y=-3x+24
and the second as -4y=-6x-6
Now divide the first equation by -2 and the second by -4
1. y=3/2x-12
2. y=3/2x+6/4
This tells us the lines have the same slope and different y intercepts which means they are parallel. There is NO solution.
If you use elimination or substitution you find the same thing.
Note, if you try emiminate you end up with 0y=-54 which is not true also telling you there is no solution.
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