Answer
See below.
Work Step by Step
$x-3y+4=0\\x=3y-4$
Thus $0.5(3y-4)-1.5y+\frac{4}{3}=0\\1.5y-2-1.5y+\frac{4}{3}=0\\\frac{4}{3}=2$
but this is not true, thus the system is inconsistent.
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