Question 369599
1.{{{2x-3y=-1}}}
2.{{{-3x+6y=-6}}}
Multiply eq. 1 by 2 and add to eq. 2,
{{{4x-6y-3x+6y=-2-6}}}
{{{highlight(x=-8)}}}
Then from eq. 1,
{{{-16-3y=-1}}}
{{{-3y=15}}}
{{{highlight(y=-5)}}}
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Graphical verification:
{{{drawing(300,300,-10,2,-10,2,circle(-8,-5,0.3),grid(1),graph(300,300,-10,2,-10,2,0,(2x+1)/3,(3x-6)/6))}}}