Question

How do you solve this using substitution?

x squared - 2x + y squared
2x + y = 4

Answer 1

Easy (by rearranging) x^2 - y^2 = 2x

Answer 2

U following so far?

Answer 3

So if 2x=x^2 -y^2 thhheeeeennnnn
X squared minus y squared plus y=4

Answer 4

Oh wait, I forgot something. It should x squared -2x + y squared = 3

Answer 5

Here this will be a lot simpler
If 2x + y = 4 then y =4-2x

Answer 6

Now since y =4-2x then by substituting y into the other equation of x squared minus 2x plus y squared = 3

Answer 7

After substitution you're answer new equation will be x^2 -2x + (4-2x)^2=3

Answer 8

Now solve for x

Answer 9

What do you get?

Answer 10

Do I need to subtract 3 and put it on the left side to make the equation equal to 0?

Answer 11

You want to try to get x so yea

Answer 12

So now I should have 5x squared - 18x + 13 = 0 ?

Answer 13

Yes

Answer 14

Solve for x

Answer 15

And now I need to factor that equation out ?

Answer 16

Yes

Answer 17

So now I have (5x - 13) (x - 1) which makes x = 13\5 and 1

Answer 18

So that's youre x and you just substitute those into the equation for y which is y=4-2x

Answer 19

y = 2 and -6\5

Answer 20

There you go those are your answers

Answer 21

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

Answer 22

Do u get that?

Answer 23

Yes

Answer 24

Glad to help then :)