Question

What are the solutions to the system of equations?

Answer 1

you know that y=2x so use that to make it a equation of just 1 variable

Answer 2

ok

Answer 3

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

Answer 4

what is 2x*2x?

Answer 5

4x

Answer 6

not quite

Answer 7

2*x*2*x?

Answer 8

so 4x^2

Answer 9

yes

Answer 10

so we have
x^2+4x^2=5
simpliy left side more

Answer 11

so then X*X=2x^2 right

Answer 12

no x*x=x^2

Answer 13

2*x*x = 2x^2
2*x*2*x=4x^2

Answer 14

think of x^2 as one quantity like apples

Answer 15

we have
x^2+4x^2 = 5
if x^2 is apples the left side really then reads
1 apple + 4 apples = 5
5 apples = 5
5x^2=5

Answer 16

does this make sense?

Answer 17

it's getting there

Answer 18

do you get powers?
so like (2x)^2 is just saying, there are 2 factors of what is in the bracket
(2x)^3 is saying there are 3 factors so 2x*2x*2x

Answer 19

i see u had some trouble multiple 2*x*2*x let me make this clear for you
just multiple one step at a time
2*x=2x
now lets see 2*x*2 = 2x*2 = 4x,
now 2*x*2*x=4x*x=4x^2

Answer 20

multiply*

Answer 21

hey are u there?

Answer 22

yea i'm here

Answer 23

anything you need to be clarified?

Answer 24

not right now

Answer 25

this is what we did so far
x^2+y^2=5
y=2x
sub
x^2+(2x)^2=5
x^2+4x^2=5
5x^2=5
x^2=1
x=+1 or -1

Answer 26

y=2x
y=2(-1) or 2(+1)
= -2 or +2

Answer 27

ok

Answer 28

so our solutions are in the form (x,y) these 2 points
(1,2) and (-1,-2)

Answer 29

ok

Answer 30

you can se this graphically the first equation is that of a circle with radius root 5
and the 2nd is that of a line wiht slope 2

Answer 31

oh ok, i just graphed it and it makes sense now

Answer 32

yep so the points that are common to both equations arethose 2, which are the solutions

Answer 33

those are the only 2 points where both of the equations are satisfied

Answer 34

it takes a bit to really understand what system of equations and their solutions are, i hope this helps, bye

Answer 35

thanks a lot for explaining the steps.