Question 237674
3x+2y=1
6x+4y=3

3 2 1
6 4 3

Divide the top row, R1, by 3

1 2/3  1/3
6  4    3

Multiply R1 by 6 and subtract from R2.  R2 - 6R1

1 2/3 1/3
0  0   1

I'd say there is no solution to this problem because you have the 2 0's in R2.