Question

I need help with this math problem. Thanks! axy + by + c = 0 (solve for y)

Answer 1

Answer:

$axy + by + c = 0 \\ axy + by = - c \\ y(ax + b) = - c \\ \boxed{y = \frac{ - c}{ax + b} }$

• y = -c/(ax+b) is the right answer.

Answer 2

Answer:

$\displaystyle y = -\frac{c}{ax+b}$

Step-by-step explanation:

We are given the equation:

$\displaystyle axy + by + c = 0$

And we want to solve it for y.

First, isolate all the y-variables. Subtracting c from both sides yields:

$\displaystyle axy + by = -c$

We can factor:

$\displaystyle y(ax + b) = - c$

And divide. Hence:

$\displaystyle y = -\frac{c}{ax+b}$

In conclusion:

$\displaystyle y = -\frac{c}{ax+b}$