To solve this we can use the process of substitution.
The second equation can become x=13-5y.
We can now replace the x in 4x in the first equation with 13-5y.
The first equation now becomes 4(13-5y)+y=14.
Now solve
52-20y+y=14
52-19y=14
-19y=38
Y=-2
Now to solve for x
Substitute the value we got for y (which is -2) into any equation and solve for x. I will use to the second equation
X+5(-2)=13
X-10=13
X=23
Done
Y=-2
X=23