Question 389036
{{{2x + 4y = 10}}}
1.{{{x+2y=5}}}
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{{{6y - 3x + 9 = 0}}}
2.{{{-x+2y=-3}}}
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Add the equations together to eliminate {{{x}}}.
{{{x+2y-x+2y=5-3}}}
{{{4y=2}}}
{{{highlight(y=1/2)}}}
Then use either equation to solve for {{{x}}}.
{{{x+2(1/2)=5}}}
{{{x+1=5}}}
{{{highlight(x=4)}}}
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Graphical verification
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{{{drawing(300,300,-2,5,-2,5,grid(1),circle(4,1/2,0.2),graph(300,300,-2,5,-2,5,(10-2x)/4,(-9+3x)/6))}}}