Which property of equality is shown below? If:19 + c = d Then:(19 + c) · 37 = d · 37 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Given Statements: Analyze the given statements. If: 19 + c = d Then: (19 + c) · 37 = d · 37 Which operation is used on both sides of the equation? The operation used is multiplication by 37.Apply Operation: Apply the operation to both sides of the equation. Multiplying both sides of the equation 19 + c = d by 37 gives us: (19 + c) · 37 = d · 37Identify Property: Identify the property of equality used. By multiplying both sides of the equation by the same number (37), the equation remains balanced. This is known as the ＂Multiplication Property of Equality＂.

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Which property of equality is shown below? $\newline$ If: $19 + c = d$ $\newline$ Then: $(19 + c) \cdot 37 = d \cdot 37$ $\newline$ 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:

19 + c = d

\newline

Then:

(19 + c) \cdot 37 = d \cdot 37

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Given Statements: Analyze the given statements. $\newline$ If: $19 + c = d$ $\newline$ Then: $(19 + c) \cdot 37 = d \cdot 37$ $\newline$ Which operation is used on both sides of the equation? $\newline$ The operation used is multiplication by $37$ .
Apply Operation: Apply the operation to both sides of the equation. $\newline$ Multiplying both sides of the equation $19 + c = d$ by $37$ gives us: $\newline$ $(19 + c) \cdot 37 = d \cdot 37$
Identify Property: Identify the property of equality used. $\newline$ By multiplying both sides of the equation by the same number $37$ , the equation remains balanced. $\newline$ This is known as the ＂Multiplication Property of Equality＂.