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$$\begin{align} (1/300)a + (-1/200)b &= 5\\ (-1/300)a + ((-1/300) + (1/200))b + (-1/200)c &= -e^b\\ (-1/200)b + (1/200)c &= -e^c \end{align} $$ how do I solve for $a, b$ and $c$? Thanks!

I know if I derive an equation that isolates a variable, like $kx + e^x = 0$ I can use Newton's method to approximate x. But still can't figure it out.

(I am just a high school student - so if you can make your answers as easy to understand as possible)

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    Newton's method also works for systems, as you can read [here, for example](http://www.math.ohiou.edu/courses/math344/lecture13.pdf).2011-10-10

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