Question

Is $\frac{3}{4}$ a solution of $8 x-1=12 x+3 ?$

   Is $\frac{3}{4}$ a solution of $8 x-1=12 x+3 ?$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 21

Instant Answer

Solved by Expert Ethan Somes

06/20/2020

Step 1

Step 1: Substitute $x$ with $\frac{3}{4}$ in the given equation $8x - 1 = 12x + 3$. Show more…

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Is $\frac{3}{4}$ a solution of $8 x-1=12 x+3 ?$

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Key Concepts

Substitution Method

The substitution method involves replacing the variable in an equation with a specific value to evaluate if the identity holds. It is a direct approach to verify whether a candidate is a solution by turning the equation into a numerical statement that can be simplified and compared.

Solution Verification

Solution verification is the process of confirming that a proposed value satisfies the given equation. This involves replacing the variable with the candidate solution and checking if both sides of the equation become equal, ensuring the candidate is indeed a valid solution.

Linear Equations

Linear equations are fundamental expressions in algebra where the variable is raised only to the first power. They represent straight lines when graphed and involve finding the value of the variable that makes the equation true by maintaining a balance between the expressions on each side of the equality.

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