Determine the value of a that makes the system inconsistent

\"Determine the value of \"a\" that makes the system inconsistent.\" Please show work,,,,

2x - y=4
ax + 3y = 2

Solution

The system becomes inconsistent if both equations represent a set of parallel lines.

Or determinant

=0(The determinant formed from the coefficients of x and y in the same order)

6+a=0

a=-6