# System of equations

Algebra Level pending

If the values for $$m$$ for which the system of equations $$3x+my=m$$ and $$2x-5y=20$$ have solutions satisfying the conditions $$x>0,\quad y>0$$ can be written as

$$m\in \left( -\infty ,\frac { -a }{ b } \right) \cup \left( c,\infty \right)$$, where a and b are positive coprime integers.

then find the value of $$a+b+c$$

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