Solve. a x-b y=c, for y

Name: Problem 110, Chapter 5: Elementary and Intermediate Algebra
Uploaded: 2020-05-24T00:41:46-08:00
Duration: 54 s
Channel: Cory Kuzinski
Description: Solve. a x-b y=c, for y

step 1 Same equation as the last one, but this time we're going to solve for Y instead of for X. So I n

Question

Solve. $$a x-b y=c, \text { for } y$$

   Solve.
$$a x-b y=c, \text { for } y$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 5, Problem 110

Instant Answer

Solved by Expert Cory Kuzinski

05/24/2020

Step 1

We can do this by subtracting $ax$ from both sides of the equation: $$-by = c - ax$$ Show more…

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Solve. $$a x-b y=c, \text { for } y$$

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Key Concepts

Isolation of a Variable

Isolating a variable involves rearranging the equation such that the variable of interest is on one side of the equation by itself. This process typically includes moving terms around and applying inverse operations to both sides.

Algebraic Manipulation

Algebraic manipulation entails the use of operations such as addition, subtraction, multiplication, and division to simplify and rearrange equations. This is essential for solving equations by expressing one variable in terms of others.

Linear Equations

A linear equation is an algebraic statement involving variables raised only to the first power. It forms a straight line when graphed and is commonly expressed in formats like Ax + By = C, where A, B, and C are constants.

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