# Set of OSK 2016 2

Algebra Level pending

$\begin{cases} x^2 + 2y^2 = 3z \\ x+y+z=t \end{cases}$

Let $$x,y,z$$ and $$t$$ be real numbers. Find the value of $$t$$ such that the solution $$(x,y,z)$$ to the system of the equations above is unique.

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