Question 1097333
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The first equation is x^2+y^2=5. The second one is y-2x=2.
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{{{x^2+(2x+2)^2=5}}}

{{{x^2+4x^2+8x+4-5=0}}}

{{{5x^2+8x-1=0}}}

{{{x=(-8+- sqrt(64+20))/10}}}

{{{x=(-8+- sqrt(84))/10}}}

{{{x=(-8+- 2*sqrt(21))/10}}}

{{{highlight((-4+- sqrt(21))/5)}}}

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As long as you are sure that your x is what is needs to be, just use the second equation to find y.
{{{y-2x=2}}}
{{{y=2x+2}}}
substitute for x and simplify.