# What Is The Student ID Of Anwesha Biswas Tithi's?

Algebra Level 3

Anwesha Biswas Tithi is a student of Mathematics Discipline Of Khulna University. Now, you have to find her student ID by solving the following system of linear equations:

\begin{align*} -3x+2y-6z &=6 \\ 5x+7y-5z &=6 \\ x+4y-2z &=8. \end{align*}

If the solution satisfies $$x+y=z,$$ what is the value of $$x+y,$$ or equivalently $$z?$$

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