malory12
malory12 malory12
  • 18-04-2017
  • Mathematics
contestada

What are the solutions to the system of equations?
x^2+y^2=5
y=2x

Respuesta :

irspow
irspow irspow
  • 18-04-2017
we can substitute y=2x in the quadratic equation to get:

x^2+(2x)^2=5

x^2+4x^2=5

5x^2=5

x^2=1

x=±1  so there are two solutions when x=-1 and 1, using y=2x we get the corresponding y values...

y(-1)=-2 and y(1)=2 so the two solutions are the two points:

(-1,-2) and (1,2)
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