Question

Solve equation. Check your solution. $4 x+9=7 x$

   Solve equation. Check your solution.
$4 x+9=7 x$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 8, Problem 2

Instant Answer

Solved by Expert Rebecca Dias

05/22/2020

Step 1

This gives us: \[9 = 7x - 4x\] Show more…

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Solve equation. Check your solution. $4 x+9=7 x$

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Key Concepts

Linear Equations

A linear equation is an algebraic expression that equates a linear polynomial to another expression, usually involving variables raised only to the first power. This type of equation can generally be solved by isolating the unknown variable on one side, providing a unique solution.

Isolating the Variable

The process of isolating the variable involves using algebraic operations such as addition, subtraction, multiplication, and division to rearrange the equation so that the unknown variable is by itself on one side. This is a fundamental technique in solving linear equations.

Checking the Solution

After obtaining a solution, it is essential to verify its validity by substituting it back into the original equation. This step confirms that both sides of the equation are equal, ensuring that the solution is correct.

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