Question 316520
{{{y=-2x+1}}}
Y-intercept:(0,-1)
Slope=-2.
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{{{drawing(300,300,-2,5,-10,2,grid(1),graph(300,300,-2,5,-10,2, -2x+1))}}}
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{{{3y=x-18}}}
{{{y=(1/3)x-6}}}
Y-intercept:(0,-6)
Slope=1/3.
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Looks like (3,-5) is a solution. 
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{{{drawing(300,300,-2,5,-10,2,grid(1),graph(300,300,-2,5,-10,2,-2x+1,(1/3)x-6))}}}
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Check with the equations.
{{{y=-2x+1}}}
{{{-5=-2(3)+1}}}
{{{-5=-6+1}}}
{{{-5=-5}}}
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{{{3y=x-18}}}
{{{3(-5)=3-18}}}
{{{-15=-15}}}
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Yes, (3,-5) solves both equations. 
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{{{drawing(300,300,-2,5,-10,2,grid(1),circle(3,-5,.2),graph(300,300,-2,5,-10,2,-2x+1,(1/3)x-6))}}}