Answer
This system of equations has no solution.
Work Step by Step
First, we need to rewrite the first equation into one in which one of the variables in the two equations have opposite numerical coefficients. To do this, we multiply the first equation by $2$ and obtain the equivalent system:
$-2x + 10y = 6$
$2x - 10y = 4$
Add the two equations together:
$(-2x+10y)+(2x-10y)=6+4\\
0 = 10$
The resulting equation is false; therefore, this set of equations has no solution.