First, lets use the second equation to find the value of x
3x+5y=13
3x=13-5y
x=13/3-5/3(y)
Now substitute the value of x to the 1st equation
8(13/3-5/3(y))+3y=14
3[104/3-40/3(y)+3y=14]
104-40y+9y=42
104-31y=42
-31y=-62
y=2
Now substitute the value to x
x=13/3-5/3(2)
x=13/3-10/3
x=1
