Let's do elimination since the left sides have the same coefficients.
3x - 2y = 10
3x - 2y = 14
To eliminate, subtract the second equation from the first by multiplying the equation by -1.
3x - 2y = 10
-3x +2y = -14
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0 + 0 = 10 - 14
0 = -4
Hey that's not true! 0 does not equal -4, which means there is no solution to the two equations.
You can confirm this by graphing. The equations do not intersect and therefore there will be no solution.