The linear equation in slope intercept form: y = mx + b.
We have:
[tex]2x+5xy-3=0\qquad\text{subtract 2x from both sides}\\\\5xy-3=-2x\qquad\text{add 3 to both sides}\\\\5xy=-2x+3\qquad\text{divide both sides by}\ 5x\neq0\\\\y=\dfrac{-2x+3}{5x}[/tex]
This is not a linear equation.