Question 679142
{{{-3x+y=-2}}}.......1 

{{{-x+y=6}}}..........2
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{{{-3x+y=-2}}}.......1 ...solve for {{{y}}}

{{{y=3x-2}}}........substitute in 2


{{{-x+(3x-2)=6}}}..........2...solve for {{{x}}}

{{{-x+3x-2=6}}}

{{{2x=6+2}}}

{{{2x=8}}}

{{{highlight(x=4)}}}

now find {{{y}}}


{{{y=3x-2}}}...plug in {{{x=4}}}

{{{y=3*4-2}}}

{{{y=12-2}}}

{{{highlight(y=10)}}}


let's see it on a graph:



{{{drawing(600,600,-10,10,-10,15,grid(1),circle(4,10,0.2),graph(600,600,-10,10,-10,15,3x-2,x+6))}}}