Question

Is it linear or not? 2x+5xy-3=0.

Answer 1

The linear equation in slope intercept form: y = mx + b.

We have:

$2x+5xy-3=0\qquad\text{subtract 2x from both sides}\\\\5xy-3=-2x\qquad\text{add 3 to both sides}\\\\5xy=-2x+3\qquad\text{divide both sides by}\ 5x\neq0\\\\y=\dfrac{-2x+3}{5x}$

This is not a linear equation.