Question

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

Answer 1

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

• y = -c/(ax+b) is the right answer.

Answer 2

`\displaystyle y = -(c)/(ax+b)`

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 = -(c)/(ax+b)`

In conclusion:

`\displaystyle y = -(c)/(ax+b)`