Question

For the equation \[ \frac{7}{2x + 1} + \frac{13}{y + 2} = 0 \] state the number of variables and whether it is linear or not.

Options

• 2 variables; Not linear

• 1 variable; Linear

• 2 variables; Linear

• 3 variables; Not linear

Answer 1

The equation has the two variables \( x \) and \( y \). Because \( x \) and \( y \) occur within denominators \( 2x + 1 \) and \( y + 2 \), the equation is Not linear in the given variables, though a suitable substitution can reduce it to linear form.