Absolutely absolute

Algebra Level 3

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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