The system of equations  $3x-5y=7,6x-10y=3$ is 

The system of equations $3x-5y=7,6x-10y=3$

$\frac{a_1}{a_2}=\frac{1}{2},\frac{b_1}{b_2}=\frac{1}{2},\frac{c_1}{c_2}=\frac{7}{3}$

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$

No solution

Inconsistent.