System of of equations and Matrices

Question

Solve the following system of equations:

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Answer 1

There is no EASY way to solve this set manually.

A hand held calculator would invert that matrix "instantly" and doing it by hand is simply onerous.

Looking at the coefficients, I think I would eliminate the z variable first.

multiply the 3rd equation by 2 and add to the first equation, then multiply the 2nd equation by 2 and the 3rd equation by 3 and add. That will eliminate the z and leave you with 2 equations in x and y. Then any convenient method will get you x and y.

If you are still stuck, make a comment so that I can try to help further.

Answer 2

Use and online Gaussian Elimination calculator to solve a system of 3 equations and 3 unknowns. This calculator shows step by step the row transformations that must be used.