Question 357715
Inconsistent means that the two lines are parallel.
{{{15x-3y=6}}}
{{{-10x+ky=9}}}
The ratio of x and y coefficients must be identical,
{{{15/(-3)=(-10)/k}}}
{{{highlight(k=2)}}}
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{{{graph(300,300,-10,10,-10,10,(6-15x)/(-3),(9+10x)/2)}}}