Question

in which quadrant the system fall: y=x-1 y=-3x-5

Answer 1

\[y = x- 1\]
\[y = -3x -5\]

so make them equal to each other
\[x - 1 = -3x -5\]
combine like-terms
\[4x = -4\]
dived by 4
\[x = -1\]
So now plug into any equation
so lets pick the first one...
\[y = -1 - 1\]
\[y = -2\]
so now you have the point \[(-1,-2)\]

and what quadrant is that in?

Quadrent III

Answer 2

Good job @rnick !