[Precalc Algebra] Systems of Nonlinear Equations

[AnUnknownDrummer]

Somewhere in my math I keep butchering this problem, I know it's really easy but my numbers aren't matching up.

1. y = 8 - x
2. y = sqrt(36 - x^2)

I need to graph by hand (which I did using a T-chart) and then solve for intersections algebraically.

I figured I could use the substitution method with #1:
y = 8 - x
y + x = 8
x = 8 + y
and substitute that value into #2:
y = sqrt(36 - [8 + y]^2)

after this my numbers don't add up. My math could be wrong before or after this point and I have no idea... Help?

[dag12]

silly you,
y+x=8 is
x=8-y
:P

[AnUnknownDrummer]

I hate my life... oh so much.


HAHAHAHA
Thank you!