Question

How many solutions exist for the system, x + y = 1 and y = -x + 1?
no solution
one solution
infinitely many solutions

Answer 1

ok then we do it here? :P

Answer 2

yeah sorry

Answer 3

Okay... you do the work and I guide you:
Rewrite: y = -x + 1

Answer 4

what d you mean rewrite it its already in the form i need it right?

Answer 5

Sure? what if I do this?
\[x+y=1 \leftarrow \rightarrow y=1-x=-x+1\]

Answer 6

The two equations are the same :)

Answer 7

yes but what does that have to do with it?

Answer 8

oooooooh *facepalm

Answer 9

well a solution between two lines is when they interact... what if two graphs are on each other? ^^

Answer 10

its no solutipon right?

Answer 11

Nope there are infinitely many solutions.

Answer 12

hu? oh so they would only be no soution if they were parallel?

Answer 13

True ^^

Answer 14

And I show you why now:

Answer 15

k

Answer 16

yeah i get oit thanks so much!