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I am taking linear algebra and the teacher threw some problems at us that I cannot seem to figure out or find examples for online. Also, the textbook doesn't even cover the material.

The problem states:

Using Gauss-Jordan elimination, solve the following system with coefficients in indicated field.

In Z

_{3}:

2x + y = 1

x + y = 2

Now I understand completely how to row reduce this system, but am not sure how to proceed in Z

_{3}.

Any help appreciated. Thanks!