Answer
$(-2,1)$
Work Step by Step
To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable.
$2(6y-8)+5y=1$
or, $12y-16+5y=1$
or, $17y-16=1$
or, $y=1$
Now, $x=6y-8=6(1)-8=-2$
Hence, the desired result is: $(-2,1)$