Question

For the equation \[ \frac{6}{x - 1} + \frac{3}{y - 2} = 0 \] state the number of variables and whether it is linear or not.

Options

• 2 variables; Linear after expansion

• 2 variables; Linear

• 4 variables; Not linear

• 2 variables; Not linear

Answer 1

The equation contains the variables \( x \) and \( y \) (2 variables). The repeated expressions \( \frac{1}{x-1} \) and \( \frac{1}{y-2} \) appear in the denominators, so the equation is Not linear in the given variables.