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Chapter 6: Problem 58

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A x+B y=C\) for \(y\)

Short Answer

Expert verified
The solution for y in terms of A, B, C and x is \(y = \frac{C - A x}{B}\). This is a linear equation, used to model a wide range of phenomena.

Step by step solution

01

Arrange the equation

To start, rewrite the equation as follows: \(A x +B y = C\). The aim is to isolate y so you should move \(Ax\) to the other side.
02

Subtract Ax from both sides

You should now subtract \(Ax\) from both sides of the equation to isolate terms with y. When you do this operation, the equation becomes \(B y = C - A x\).
03

Divide by B

Next, you need to get rid of the B that's currently multiplying y. This can be done by dividing all terms in the equation by B. After this operation, the equation becomes \(y = \frac{C - A x}{B}\).

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