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

Name: Problem 109, Chapter 5: Elementary and Intermediate Algebra
Uploaded: 2020-05-24T00:40:30-08:00
Duration: 36 s
Channel: Cory Kuzinski
Description: Solve. a x-b y=c, for x

step 1 trying to solve this equation for x so the first thing i want to do is get rid of this or add b

Question

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

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

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 5, Problem 109

Instant Answer

Solved by Expert Cory Kuzinski

05/24/2020

Step 1

To do this, we add $b y$ to both sides of the equation to get rid of $-b y$ on the left side. This gives us: $$a x = c + b y$$ Show more…

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

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Key Concepts

Isolating the Variable

Isolating the variable means manipulating an equation so that the variable of interest appears alone on one side of the equation. This is achieved by performing inverse operations to cancel out other terms, leading to an explicit expression for that variable.

Linear Equations

A linear equation is an algebraic expression where the highest power of the variable is one. Solving linear equations generally involves isolating one variable, which requires understanding and applying basic algebraic principles and techniques efficiently.

Rearranging Equations

Rearranging equations involves using algebraic operations such as addition, subtraction, multiplication, and division to shift terms from one side of the equation to the other. This process helps in organizing an equation into a form that makes the solution for a specific variable more straightforward.

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