we can solve this by elimination, in order to do this we need to multiply the bottom equation by three to cross out the X
(x+5y=38)3 3x+15y=114
-3x+4y=95
3x+15y=114
then add the two equations together and the X will cancel out
19y=209
----- -----
19 19
y=11
then plug that in into one of the equations
x+55=38
-55 -55
x= -17
your answer is (-17,11)