Example: Determining Whether Values are Solutions to a Linear Equation
To determine whether specific values are solutions to a linear equation, systematically substitute each value for the variable and simplify both sides.
For example, test two values for the equation :
Testing :
- Substitute:
- Multiply:
- Simplify: . Since this statement is false, is not a solution.
Testing :
- Substitute:
- Multiply:
- Simplify: . Since this statement is true, is a solution.
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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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Example: Determining Whether Values are Solutions to a Linear Equation
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Determining if is a Solution of
Determining if is a Solution of
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Determining if is a Solution of
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Standard Operating Procedure for Equation Verification
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Learn After
In a corporate budget analysis, an analyst uses the linear equation to model project costs. If the analyst is asked to verify whether a specific value, such as , is a 'solution' to this equation, what is the defining condition that must be met?
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Verifying Solutions in Technical Modeling