Question 32919
You substituted the wrong value of x
given 
2x+3y=5 
x=3y+1   
substitute value of x in the equation 2x+3y = 5
2(3y+1)+3y = 5
6y+2+3y = 5
on solving we get 9y = 3 
therefore y = 3/9 = 1/3
therefore x = 3(1/3) + 1 = 2
therefore x = 2 and y = 1/3