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Ay-by=c
solve for "y"

User CDspace
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2 Answers

1 vote

Final answer:

To solve the equation ay - by = c for y, divide both sides of the equation by (a - b) to isolate y.

Step-by-step explanation:

To solve the equation ay - by = c for y, we can factor out y on the left side of the equation:

y(a - b) = c

Then, we can divide both sides of the equation by (a - b) to isolate y:

y = c / (a - b)

For example, if a = 5, b = 2, and c = 10, the equation would be y(5) - y(2) = 10, which simplifies to 3y = 10. Dividing both sides by 3 gives y = 10/3.

User Kubusz
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6 votes

\sf Ay-by = c\\\\ Factor~out~y\\ y(A-b) = c\\\\ Divide A-b~on~both~sides\\y = (c)/(A-b)
User Tobias Fuchs
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