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x-2y=1 x^2+y^2=13

 Jun 25, 2015

Best Answer 

 #1
avatar+118696 
+5

x2y=1(1a)x2+y2=13(2)x=1+2yx2=1+4y2+4y(1b)sub1binto21+4y2+4y+y2=135y2+4y12=05y2+10y6y12=05y(y+2)6(y+2)=0(5y6)(y+2)=0y=+6/5ory=2

now sub thes y values back into 1a to find the corresponding x values.

you can finish it :)

 

https://www.desmos.com/calculator/g79i5h67l3

 Jun 25, 2015
 #1
avatar+118696 
+5
Best Answer

x2y=1(1a)x2+y2=13(2)x=1+2yx2=1+4y2+4y(1b)sub1binto21+4y2+4y+y2=135y2+4y12=05y2+10y6y12=05y(y+2)6(y+2)=0(5y6)(y+2)=0y=+6/5ory=2

now sub thes y values back into 1a to find the corresponding x values.

you can finish it :)

 

https://www.desmos.com/calculator/g79i5h67l3

Melody Jun 25, 2015
 #2
avatar+14538 
+3

x-2y=1                        x^2+y^2=13

                                   x ^2 = 13-y^2

                                    x  = sqrt(13y-2)

sqrt(13y-2) = 1+2y    | quadrieren

13-y^2 = 1+4y+4y^2

5y^2+4y-12=0

y1= 1,2          y2= -2

x=1+2y         x1 = 3,4       x2 = -3

 Jun 25, 2015

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