# Thread: [SOLVED] solving (another) system

1. ## [SOLVED] solving (another) system

Would someone be so kind as to show me how I would go about solving this?

$y-e^{-x} = 1$
$y-lnx = 3$

2. Originally Posted by satis
Would someone be so kind as to show me how I would go about solving this?

$y-e^{-x} = 1$
$y-lnx = 3$
By subtracting one equation from the other, you can eliminate the $y$.

So $e^{-x} - \ln{x} = 3 - 1$

$e^{-x} - \ln{x} = 2$.

I suspect you will need to use technology to solve for $x$ in this case.

3. I've always wondered about the phrase "use technology". A pencil and paper are "technology"!

4. Originally Posted by HallsofIvy
I've always wondered about the phrase "use technology". A pencil and paper are "technology"!
Maybe I should say "use a computer that has a built-in numerical method that could be done by pencil and paper but because of time constraints, most people just reach for the computer..."