Q. Which property of equality is shown below?If: w=−79+(−16)Then: w+x=−79+(−16)+x
Analyze Equations: Analyze the given equations.We have the original equation: w=−79+−16And the modified equation: w+x=−79+−16+xWe need to identify which operation is applied to both sides of the original equation to obtain the modified equation.
Identify Operation: Identify the operation used.By comparing the original and modified equations, we can see that 'x' has been added to both sides of the original equation.Original: w=−79+−16Modified: w+x=−79+−16+x
Determine Property: Determine the property of equality.Since 'x' has been added to both sides of the equation, the property of equality used here is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the two sides remain equal.