# Absolutely absolute

Algebra Level 4

Solve the equation

$\left| 2x-3y \right| +\sqrt { 7x-3y-13 } =0$

Given that the value of $$x$$ and the value of $$y$$ can be expressed as $$\frac{a}{b}$$ and $$\frac{c}{d}$$ respectively and that they are both real, find the value of $$a+b+c+ d$$

If you think that there are infinitely many rational solutions for $$x$$ and $$y$$, input $$0$$ as your answer.

If you think that there are no solutions for $$x$$ and $$y$$, input $$-1$$ as your answer.

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