Question

Use the substitution method to find the solution(s) to the system of equations. Show all work for full credit.
y = –x^2
y = x

Answer 1

x = -x^2
-x = x^2
sqrt(-x) = x
the only way this could work is if x = 0

Answer 2

incorrect!

Answer 3

0 or -1.

Answer 4

Incorrect?

Answer 5

no, no, not you, meeeerah

Answer 6

i don't get it, i wrote it few minutes ago, where it dissapeared? :/

Answer 7

I didn't delete anything lol. & What is incorrrect?

Answer 8

x = -x^2 -x = x^2 sqrt(-x) = x the only way this could work is if x = 0 - this is incorrect...i didn't write it to you

Answer 9

\[-x^2=x\]
\[x^2+x=0\]
\[x(x+1)=0\]
\[x=0\] or
\[x=-1\]

Answer 10

Thank you, SATELLITE73.

Answer 11

that is the worked out answer, but you can probably do this with your eyeballs.
0 obviously works, as does -1. we say "by inspection" but you may not get full credit without the details

Answer 12

yw

Answer 13

I know, but the teacher needs the work, thats why in an earlier comment i said 0 or -1, I just didn't know how to get that answer.

Answer 14

well if you want to write even more you can put
\[x+1=0\]
\[x=-1\] i skipped that step. teachers should encourage answers by inspection, especially when they are rigth

Answer 15

my bad