# Solutions to Two Systems of Nonlinear Equations

Solve the following system of nonlinear equations for the unknown angles alpha, Beta, and lambda, where 0 <= alpha <= 2*pi, 0 <= Beta <= 2*pi, and 0 <= lambda < pi.

2 sin(alpha) - cos(Beta) + 3tan(lambda) = 3

4 sin(alpha) + 2cos(Beta) - 2tan(lambda) = 2

6 sin(alpha) - 3cos(Beta) + tan(lambda) = 9

Solve the following system for x, y, and z.

1/x + 2/y - 4/z = 1

2/x + 3/y + 8/z = 0

-1/x + 9/y + 10/z = 5

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#### Solution Summary

We use linear algebra to solve two systems of nonlinear equations in an attached Word document.

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