Answer
$\text{The system of equations is inconsistent and has no solutions.}$
Work Step by Step
We need to solve the given system of equations:
$$3x-2y=5 ~~~(1) \\6x-4y=8 ~~~(2)$$
Multiply first equation by $-2$ and then first equation is equivalent to:
$$-6x+4y=-10 ~~~~(3)$$
Add equations $(2)$ and $(3)$ to eliminate $x$.
$$6x-4y-6x+4y=8-10 \\ 0=-2 $$
Since $0$ never equals $-2$, the system of equations is inconsistent and has no solutions.