5x+6y=53 (let this be equation i)
x=2y+1 (let this be equation ii)
Now,
Putting the value of ii in equation i
5(2y+1)+6y=53
10y+5+6y=53
10y+6y=53-5
16y=48
y=48/16
y=3
Now, putting the value of y in equation ii
x=2y+1
x=2(3)+1
x=6+1
x=7
Therefore, the value of x is 7 and y is 3
Checking: (not necessary)
5x+6y=53
5(7)+6(3)=53
35+18=53
53=53(correct)