Question

Is $x=\frac{9}{4}$ a solution of $4 x+9=8 x ?$

   Is $x=\frac{9}{4}$ a solution of $4 x+9=8 x ?$

Elementary Algebra

Elementary Algebra

Lynn Marecek 1st Edition

Chapter 2, Problem 2

Instant Answer

Solved by Expert Palitha Reddy

07/12/2021

Step 1

We have 4 * (9/4) + 9 = 8 * (9/4). Show more…

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Is $x=\frac{9}{4}$ a solution of $4 x+9=8 x ?$

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Key Concepts

Equality Verification

Equality verification is the process of confirming that both sides of an equation are equal after substitution, ensuring that the proposed solution satisfies the equation. This step is essential in validating the correctness of the solution.

Linear Equations

Linear equations are equations involving a variable raised only to the first power, resulting in a graph that is a straight line. They form the basis for many algebraic operations and problem-solving techniques and are crucial for understanding relationships between quantities.

Substitution Method

The substitution method is a common technique for verifying if a particular value is a solution to an equation. It involves replacing the variable with the given value and simplifying the equation to see if it holds true.

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