SOLUTION: I have a problem with two equations inside brackets. The first equation is x^2+y^2=5. The second one is y-2x=2. I'm not sure about my solution, though. This is what I ended up with

Algebra ->  Radicals -> SOLUTION: I have a problem with two equations inside brackets. The first equation is x^2+y^2=5. The second one is y-2x=2. I'm not sure about my solution, though. This is what I ended up with      Log On


   

Question 1097333: I have a problem with two equations inside brackets. The first equation is x^2+y^2=5. The second one is y-2x=2. I'm not sure about my solution, though. This is what I ended up with. (-4 plus or minus sqrt21/5, 2 plus or minus 2*sqrt21/5). Am I correct? Thank you for your time.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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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%5E2%2B%282x%2B2%29%5E2=5
x%5E2%2B4x%5E2%2B8x%2B4-5=0
5x%5E2%2B8x-1=0
x=%28-8%2B-+sqrt%2864%2B20%29%29%2F10
x=%28-8%2B-+sqrt%2884%29%29%2F10
x=%28-8%2B-+2%2Asqrt%2821%29%29%2F10
highlight%28%28-4%2B-+sqrt%2821%29%29%2F5%29
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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%2B2
substitute for x and simplify.