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## Homework Statement

## Homework Equations

Equation 1: 3x+2y+1/3z=50

Equation 2: x+y+z=100

## The Attempt at a Solution

I know that the variables go like this: x=5, y=2 and z=93. I solved this combining different variables until I got the right "combination". I have to prove these solutions, any ideas how?