Learn Before
Checking the Solution of
To verify that is the correct solution to the equation }9x - 5 - 8x - 6 = 7{, substitute 18 for every instance of in the original equation and simplify both sides to check if they are equal:
{}9(18) - 5 - 8(18) - 6 stackrel{?}{=} 7
{}162 - 5 - 144 - 6 stackrel{?}{=} 7
{}157 - 144 - 6 stackrel{?}{=} 7
{}13 - 6 stackrel{?}{=} 7
Since the resulting statement is true, the solution is confirmed.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.2 Solving Linear Equations and Inequalities - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Related
Checking the Solution of
A logistics coordinator uses the equation x - 11 = 7 to calculate the original number of units in a shipment before 11 units were delivered. Which action correctly applies the Addition Property of Equality to isolate the variable x?
In a corporate inventory system, a manager uses the equation x - 11 = 7 to determine the original stock level (x) after 11 units were shipped. To isolate x using the Addition Property of Equality, the manager must add the specific number ____ to both sides of the equation.
A logistics manager is solving the equation x - 11 = 7 to determine the total number of items needed for a shipment. Arrange the following steps in the correct order to solve for x using the Addition Property of Equality.
An HR coordinator uses the equation to find the original number of staff members () after 11 were reassigned to a different department, leaving 7 in the current group. True or False: To isolate the variable using the Addition Property of Equality, the coordinator should add 11 to both sides of the equation.
Applying the Addition Property in Logistics
A department manager is using the equation to find the original number of laptops in an order after 11 were assigned to new employees, leaving 7 in storage. Match each part of the solving process with its correct definition or value based on the Addition Property of Equality.
Pharmacy Supply Chain Audit
Recalling the Addition Property for Budget Adjustments
A retail analyst is solving the equation to determine the initial inventory level of a product before 11 units were sold. To isolate the variable using the Addition Property of Equality, the analyst must recognize that addition is the inverse operation of which operation currently acting on in the equation?
A facilities manager is solving the equation to determine the initial number of desks in an office suite before 11 desks were moved to another floor. When applying the Addition Property of Equality by adding 11 to both sides, the manager knows that the terms and on the left side of the equation will combine to equal which value?
Learn After
A logistics coordinator is verifying an automated inventory report using the equation 9x - 5 - 8x - 6 = 7. To confirm if the value x = 18 is the correct solution, which of the following represents the correct first step of the verification process?
A logistics coordinator is auditing a shipping model represented by the equation '9x - 5 - 8x - 6 = 7'. To verify if the solution 'x = 18' is correct, the coordinator must substitute the number ____ for every instance of 'x' in the equation.
A production planner uses the equation $9x - 5 - 8x - 6 = 7to determine the quantity of raw materials needed for a manufacturing run. To ensure the calculationx = 18$ is accurate before starting production, the planner must verify the solution. Arrange the following steps of the verification process in the correct sequence.
Verifying Solutions in Operations Models
An accounting clerk is auditing a payroll formula represented by the equation $9x - 5 - 8x - 6 = 7. To verify if the adjustment valuex = 18is the correct solution, the clerk substitutes 18 for each instance ofxin the equation. If the left side simplifies to 7, resulting in the true statement $7 = 7, the solution is confirmed as correct.
A project manager is auditing a budget variance model represented by the equation $9x - 5 - 8x - 6 = 7. To verify thatx = 18$ is the correct solution, match each stage of the verification process with its corresponding mathematical expression.
Quality Control in Inventory Auditing
Standard Operating Procedure for Verifying Variable Solutions
A warehouse supervisor is verifying a stock level formula represented by the equation $9x - 5 - 8x - 6 = 7. To correctly check ifx = 18$ is the solution, how should the supervisor apply the value 18 to the variables in the equation?
A production supervisor is verifying a labor-cost equation: $9x - 5 - 8x - 6 = 7. To verify ifx = 18is the correct solution, the supervisor substitutes 18 forxand simplifies the left side. What numerical value must the left side simplify to in order to confirm thatx = 18$ is the correct solution?