The equations are inconsistent because there is no point of intersection. Both equations form lines that are parallel.
Work Step by Step
We can simplify Equation 2 by dividing both sides by 2, this gives us $-4x+5y = 7$. We can then graph $4x-5y = 3$ and $-4x+5y = 7$ to see if there are any solutions. By graphing the equations, we can see that they do not intersect and are therefore inconsistent.