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Well this is awkward. I've been through three semesters of calculus and yet this system of linear equations is causing me to brain fart.

$$\begin{align*} &&3y&=4x\\ &&2x+3z&=4y\\ 2x+y+z=4z &\to& 2x+y&=3z\\ &&x+y+z&=1 \end{align*}$$

I can obviously just get the answer with Wolfram Alpha, but I'm really bugged that I can't figure this out. All I've been able to do is fudge around terms and I'm not getting anywhere.

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    I see arrows in there. Which are the equations that you are given and which are the ones where you do computation?2011-12-04
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    One arrow meaning I saw the simplification. $2x+y+z=4z$ is the same as $2x+y=3z$.2011-12-04
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    As it is, there is no solution (the equations are inconsistent), but there's probably a typo. The question says $3y=4z$ but the link says $3y=4x$.2011-12-04
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    Yes, that should be $3y=4x$. I'll update the question.2011-12-04
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    Do Gauss-Jordan elimination on the matrix of the system...2011-12-04

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