Question

solve the system by the substitution method

x+y=3
y=x^2-6x+9

Answer 1

okay just plug in the second equation into the first equaiton

Answer 2

so x+x^2-6x+9=3 right
then you subtract 3 from both sides right so you get
x^2+7x-12=0 ?

Answer 3

i would do something different.... substitution is all about plugging in so the first equation looks the easiest to start with..

so let's just isolate the x :)

so we have x= -y+3

now, you substitute it into that second equation to find y

so y=(-y+3)^2-6(-y+3)+9

and now solve piece by piece

(-y+3)(-y+3) use FOIL to solve

so y^2-3y-3y+9 = y^2-6y+9

then you have -6 times -y = 6y and then -18

so which gives you y^2-6y+9+6y-18+9.

combine like terms! what do you get?

Answer 4

this is non linear system substittuion

Answer 5

ohh okay so then never mind hahah do what the first person said :)

haha what you got looks right :)

Answer 6

and then continue from there! :D