Example: Determining Whether Values are Solutions to a Linear Equation

Determining if $y=\frac{4}{3}$ is a Solution of $9y+2=6y+3$

Determining if $y=\frac{1}{3}$ is a Solution of $9y+2=6y+3$

Determining if $x=-\frac{1}{2}$ is a Solution of $4x-2=2x+1$

Determining if $x=\frac{3}{2}$ is a Solution of $4x-2=2x+1$

Determining if $y=\frac{3}{5}$ is a Solution of $5y+3=10y-4$

Determining if $y=\frac{7}{5}$ is a Solution of $5y+3=10y-4$

As an inventory analyst, you are creating a training guide for new hires on how to manually verify if a reported stock quantity solves the warehouse capacity equation. Arrange the steps of the mathematical strategy in the correct order they must recall and apply to determine if a specific number is a solution.

A logistics coordinator is using a systematic three-step strategy to verify if a freight weight of ${}25$ kilograms is a solution to a shipping cost equation. After substituting the value and simplifying both sides of the equation independently, what must the coordinator observe in the final step to conclude that ${}25$ is indeed a solution?

An auditor is verifying if a total expense amount of $E = {}1250$ is a solution to a company's budget equation. Match each step of the three-step verification strategy with the specific action the auditor must perform.

Standard Operating Procedure for Equation Verification

A retail manager is verifying if a discount rate $d$ is a solution to a profit margin equation. True or False: According to the systematic three-step strategy, the manager should simplify the mathematical expressions on both sides of the equation independently after substituting the rate for the variable.