Question

WILL GET MEDAL!

find the solutions to the systems of nonlinear equations.

1. y=2x
x^2+y^2=15

2. y=3x
x^2+y^2=40

Answer 1

halp pls

Answer 2

Substitution.

Answer 3

\[
x^2+y^2\Bigg|_{ y=2x}=x^2+(2x)^2 = 5x^2=15
\]Solve for \(x\) here, it should be simple.

Answer 4

x=(sqrt)3

Answer 5

y=2(sqrt 3)?

Answer 6

\(x=\pm \sqrt 3\)

Answer 7

Would I give the answer for both, x and y?

Answer 8

Yes, so this one has two solutions.

Answer 9

Alright, thanks so much for your help and patience!

Answer 10

Now, for the second equation, would these be the answers?

x=2
y=6

Answer 11

@wio

Answer 12

Yeah, again there is a positive and negative solution.

Answer 13

Thanks!