Question

How do I solve a non-linear system?

Answer 1

you can use the same techniques as linear systems for the most part

Answer 2

I don't understand how to get two answers

Answer 3

I am trying to solve
\[y=2x\]
\[x^{2}+y^{2}=20\]

Answer 4

you do recognize x^2 + y^2 is a circle centered at the origin right? ; and that 2x is a line that passes thru the origin

Answer 5

substitute (2x) for (y) in the circle and the equation becomes a familiar quadratic

Answer 6

I think my problem is factoring

Answer 7

x^2 + 4x^2 = 20

5x^2 = 20

x^2 = 20/5 = 4

when does x^2 = 4?

Answer 8

x=2

Answer 9

x = 2 and ....

Answer 10

-2
?

Answer 11

yes

Answer 12

so I would have (2,y) (-2,y) and now i just have to solve for y?

Answer 13

yes, and you already have an equation for y right :)

Answer 14

Thank you so much!

Answer 15

youre welcome, and good luck ;)

Answer 16

Thanks again!