Question

determine whether the following equation defines y as a function of x.
xy + 6y = 4
does the equation xy + 6y = 4 define y as a function of x?
yes
no

Explanation:

Step1: Factor out y from left side

$y(x + 6) = 4$

Step2: Solve for y in terms of x

$y = \frac{4}{x + 6}$

Step3: Verify single y per valid x

For every valid $x$ (where $x
eq -6$), there is exactly one corresponding $y$-value.

Answer:

Yes