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

User ATpoint
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2 Answers

11 votes
11 votes

Answer:


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

  • y = -c/(ax+b) is the right answer.
User Jalagrange
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2.5k points
21 votes
21 votes

Answer:


\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)

User Jqw
by
2.8k points