# Simultaneous equations

## Homework Statement

Question is in the attachment, this is for revision not homework

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That was nasty. Lots of algebra and you'll have to use some long division. Try playing around with the formulas a bit.

Do you have the workings?

I did work out the problem, but I can't really help you unless you show some of your own work, so I just gave some hints about what to do. Try finding T by using (2) to find

$$E_{03}=E_{01}-\frac{\eta_{1}E_{02}}{\eta_{2}}$$

Then plug it into (1) and you should get the result easily. Solving for R is trickier, but I gave a good hint.

I would put my working but I am slow in writing latex and my exam is tomorrow, thanks for the help anyway

It's a lot easier than it looks, treat everything like a constant except the Es

$$E_{1} c_1 + E_3 c_1 - E_2 c_2 = 0$$

$$\eta _2 E_1 - \eta _2 E_3 + \eta _1 E_2 = 0$$

Add $\frac{c_1}{\eta_2}$ of equation 2 to equation 1 to get you started? Solve for Es.

Thanks greg