y= 4x-5
x.y = 6
x = 6/y
substitute value
y= 24/y-5
y²+5y-24=0
y²+8y-3y-24=0
y(y+8) -3(y+8) = 0
y=3 or y = -8
consider y = 3,
3 = 4x-5
x= 2!
now y = -8
-8= 4x-5
x= -3/4
The answer is 2 and 3 Or -8 and -3/4
2 is not 5 less 4 times other so the solution is -8 and -3/4