Question

Solve. $A x+B y=C,$ for $y$

Name: Problem 90, Chapter 3: Elementary and Intermediate Algebra
Uploaded: 2020-06-05T22:57:20-08:00
Duration: 1 min 6 s
Channel: Holly Miner
Description: Solve. A x+B y=C, for y

   Solve.
$A x+B y=C,$ for $y$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 3, Problem 90

Instant Answer

Solved by Expert Holly Miner

06/05/2020

Step 1

We can do this by subtracting $Ax$ from both sides of the equation. This gives us: \[B y = C - Ax\] Show more…

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Solve. $A x+B y=C,$ for $y$

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Key Concepts

Linear Equations

Linear equations involve variables raised only to the first power and constant coefficients. They represent straight-line relationships and are fundamental in algebra for modeling problems and solving for unknowns.

Isolation of a Variable

Isolating a variable means manipulating an equation to have the variable of interest alone on one side. This process is crucial in solving equations, allowing one to express one variable explicitly in terms of the others.

Transposition and Inverse Operations

Transposition is the method of moving terms from one side of an equation to the other by adding or subtracting, while inverse operations refer to actions such as division undoing multiplication. Together, these techniques help to systematically rearrange an equation to solve for a desired variable.

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