Question

find the solutions to the systems of nonlinear equations:
y=2x
x^2+y^2=15

Answer 1

substitute and solve

Answer 2

y = 2x => x^2 +(2x)^2 = 15

Answer 3

I think I am doing that but I dont know if I'm getting the right answer or working the problem right

Answer 4

what did you get?

Answer 5

x = square root of 3 and negative square root of 3
y = 2 square root of 3 and -2 square root 3

Answer 6

there you go... except it should be two points so write them as pairs

(x, y)

Answer 7

Oh okay sweet :D thanks for the tip ! could you help me with one more problem similar to this one?

Answer 8

let's see

Answer 9

x^2 + y^2= 25

x^2 -y^2
--- --- = 1
5^2 5^2

I don't know on which equation to start with

Answer 10

solve the first for one of the variables and plug it into the second.

Answer 11

So move the y^2 to the other side then square root everything?

Answer 12

no need to sqrt.

Answer 13

so just flip the y^2 to the other side? x^2 = 25 - y^2

Answer 14

yeah, that'll work

Answer 15

so replace the x^2 with 25 - y^2

Answer 16

you can do that... i'd do y^2 = 25 - x^2

Answer 17

how come is it easier to do it with y first?

Answer 18

it really doesn't matter

Answer 19

oh ok I thought you HAD to start with y first lol

Answer 20

no

Answer 21

going for dinner, i'll be back later

Answer 22

oh ok im working through the problem right now

Answer 23

you should get 4 points

Answer 24

you multiply the denominator by 25 right? or 5

Answer 25

25