Which property of equality is shown below? If:y − x = 89 Then:y − x + 44 = 89 + 44 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Equation: Analyze the given statements to identify the operation performed. The original equation is y − x = 89. An operation is performed on both sides of this equation to obtain a new equation: y − x + 44 = 89 + 44.Identify Operation: Identify the operation used on both sides of the original equation. The operation performed is the addition of 44 to both sides of the equation.Property of Equality: Determine which property of equality corresponds to the operation identified in Step 2. The addition of the same number (44) to both sides of an equation without changing the equality demonstrates the Addition Property of Equality.

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Which property of equality is shown below? $\newline$ If: $y - x = 89$ $\newline$ Then: $y - x + 44 = 89 + 44$ $\newline$ Choices: $\newline$ (A) Addition Property of Equality $\newline$ (B) Subtraction Property of Equality $\newline$ (C) Multiplication Property of Equality $\newline$ (D) Division Property of Equality

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Math Problems

Algebra 1

Properties of equality

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Q. Which property of equality is shown below?

\newline

If:

y - x = 89

\newline

Then:

y - x + 44 = 89 + 44

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Equation: Analyze the given statements to identify the operation performed. $\newline$ The original equation is $y - x = 89$ . An operation is performed on both sides of this equation to obtain a new equation: $y - x + 44 = 89 + 44$ .
Identify Operation: Identify the operation used on both sides of the original equation. $\newline$ The operation performed is the addition of $44$ to both sides of the equation.
Property of Equality: Determine which property of equality corresponds to the operation identified in Step $2$ . $\newline$ The addition of the same number ( $44$ ) to both sides of an equation without changing the equality demonstrates the Addition Property of Equality.