Question

Is 3/x+4/y=2 linear or non-linear

Answer 1

The given equation is non-linear.

Solution:

Given expression is $\frac{3}{x} +\frac{4}{y} =2$.

To find the equation is linear or non-linear.

Linear equation is a straight line which is in the form ax + by + c = 0.

Otherwise it is non-linear equation.

⇒ $\frac{3}{x} +\frac{4}{y} =2$

Do cross multiply for the fractions to make the denominators same.

⇒ $\frac{3y}{yx} +\frac{4x}{yx} =2$

⇒ $\frac{3y+4x}{yx} =2$

Do cross multiplication.

⇒ $3y+4x=2yx$

⇒ $4x+3y-2yx=0$

Here, there is no constant term.

So, the equation is not a straight line.

Hence, the given equation is non-linear.