# The New Year Warm-up Equation Solving

Algebra Level 3

If given that,

$$-y+2x+z=5$$

$$3y-x+2z=0$$

$$2z+6y+5x=3$$

Solve the system of equations. Believe in the new year and you will be able to do it.

Details:

1. Given further that $$x, y, z$$ can be expressed as integers, find the value of $$x+y+z$$.
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