anonymous
  • anonymous
How do you solve this using substitution? x squared - 2x + y squared 2x + y = 4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Easy (by rearranging) x^2 - y^2 = 2x
anonymous
  • anonymous
U following so far?
anonymous
  • anonymous
So if 2x=x^2 -y^2 thhheeeeennnnn X squared minus y squared plus y=4

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anonymous
  • anonymous
Oh wait, I forgot something. It should x squared -2x + y squared = 3
anonymous
  • anonymous
Here this will be a lot simpler If 2x + y = 4 then y =4-2x
anonymous
  • anonymous
Now since y =4-2x then by substituting y into the other equation of x squared minus 2x plus y squared = 3
anonymous
  • anonymous
After substitution you're answer new equation will be x^2 -2x + (4-2x)^2=3
anonymous
  • anonymous
Now solve for x
anonymous
  • anonymous
What do you get?
anonymous
  • anonymous
Do I need to subtract 3 and put it on the left side to make the equation equal to 0?
anonymous
  • anonymous
You want to try to get x so yea
anonymous
  • anonymous
So now I should have 5x squared - 18x + 13 = 0 ?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Solve for x
anonymous
  • anonymous
And now I need to factor that equation out ?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
So now I have (5x - 13) (x - 1) which makes x = 13\5 and 1
anonymous
  • anonymous
So that's youre x and you just substitute those into the equation for y which is y=4-2x
anonymous
  • anonymous
y = 2 and -6\5
anonymous
  • anonymous
There you go those are your answers
anonymous
  • anonymous
You get two answers because technically you have a parabola and a line and your asking where they intersect and they intersect at two points
anonymous
  • anonymous
Do u get that?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Glad to help then :)

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