Question 1144807
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 line joining (5, 4) and the origin
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{{{y=(4/5)x}}}





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meet the line 2x + 2y − 7=0
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{{{5y=4x}}}
{{{4x-5y=0}}}

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{{{system(2x+2y-7=0,4x-5y=0)}}}


{{{system(4x+4y-14=0,4x-5y=0)}}}


{{{E1-E2}}}:
{{{9y-14=0}}}
{{{9y=14}}}
{{{y=14/9}}}, {{{y=1&5/9}}}
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{{{2x+2(14/9)=7}}}{{{substitution}}}
{{{2x=7-28/9}}}
{{{x=7/2-14/9}}}
{{{x=(63-28)/18}}}
{{{x=35/18=1&17/18}}}
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Intersection,  ( 35/18, 14/9 )


{{{graph(400,400,-4,4,-4,4,4x/5,-x+7/2)}}}