Question

Solve each equation. $3 x-9=0$

Name: Problem 74, Chapter 6: Beginning and Intermediate Algebra
Uploaded: 2020-03-17T18:30:07-08:00
Duration: 30 s
Channel: Angela Guo
Description: Solve each equation. 3 x-9=0

   Solve each equation.
$3 x-9=0$

Beginning and Intermediate Algebra

Elayn Martin-Gay 4th Edition

Chapter 6, Problem 74

Instant Answer

Solved by Expert Angela Guo

03/17/2020

Step 1

To isolate $x$, we first need to get rid of the $-9$ on the left side. We do this by adding $9$ to both sides of the equation. This gives us: \[3x - 9 + 9 = 0 + 9\] which simplifies to: \[3x = 9\] Show more…

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Solve each equation. $3 x-9=0$

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Key Concepts

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. The graph of a linear equation in two dimensions is a straight line, and such equations are foundational in algebra.

Properties of Equality

These properties allow us to perform the same mathematical operation on both sides of an equation without changing its equality. This is essential in solving equations as it ensures that the balance of the equation is maintained when isolating the variable.

Isolation of the Variable

This concept involves using inverse operations, such as addition, subtraction, multiplication, or division, to isolate the unknown variable on one side of the equation. This simplification step is key to determining the value of the variable.

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