Question

Is $\frac{2}{5}$ a solution of $5 m+1=10 m-3 ?$

   Is $\frac{2}{5}$ a solution of $5 m+1=10 m-3 ?$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 20

Instant Answer

Solved by Expert Ethan Somes

06/20/2020

Step 1

Step 1: Substitute $\frac{2}{5}$ for $m$ in the equation $5m+1=10m-3$ to check if it is a solution. Show more…

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Is $\frac{2}{5}$ a solution of $5 m+1=10 m-3 ?$

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Key Concepts

Linear Equations

Linear equations are equations of the first degree, meaning that the variable is only raised to the power of one. They typically take the form ax + b = cx + d and can be solved using algebraic manipulations such as combining like terms and isolating the variable.

Substitution Method

The substitution method involves replacing the variable with a given value to check whether the equality holds. This technique is commonly used to verify if a proposed solution is valid for the given equation.

Solution Verification

Solution verification is the process of confirming that a number satisfies the conditions of an equation. By substituting the number into both sides of the equation and simplifying, one can determine if the resulting expressions are equal, thereby affirming or denying the candidate solution.

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