Question

Say true or false:

The following equation is an example of a linear equation in two variables:

$\frac{1}{x}+\frac{1}{y}=\frac{1}{7}$

• A. True
• B. False

Answer 1

The correct option is B False

$\frac{1}{x}+\frac{1}{y}=\frac{1}{7}$
$7(x+y)=xy$
$7x+7y=xy$
The equation $7x+7y=xy$ is not of the form $y=mx+c$. Hence, it is not a linear equation. The degree of its variable is also two, hence the equation cannot be linear.