IronicCompound

Most professors post sooner, but they don't need to. Until the Thursday after finals week, don't worry about grades not being posted. Even so, it's a soft deadline, and classes involving lots of writing or which have a large number of students might require more time.

I have 4 equations which relate 10 symbols (call them x_1, ..., x_10).

I want to solve for x_1 and x_2 in terms of symbols x_6, ... , x_10. That is, I want to eliminate x_3, ... , x_5.

The best I can do is use the following code to solve for x_1 and x_2 in terms of x_4, ... , x_10. I can't figure out how to also eliminate x_4.

syms Q_i Q_1 Q_o H_1 H_2 A_1 A_2 R_1 R_2 s

eqns = [H_1 - H_2 - R_1 * Q_1, H_2 - R_2 * Q_o];

[H_1, H_2] = solve(eqns, H_1, H_2);

Q_i = Q_1 + A_1 * s * H_1

Q_o = Q_1 - A_2 * s * H_2

By my description above, Q_1 is x_4, and I can't get rid of it, since this results in:

Q_i =

Q_1 + A_1*s*(Q_1*R_1 + Q_o*R_2)

Q_o =

Q_1 - A_2*Q_o*R_2*s

Any idea

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