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6. Name the property of real numbers illustrated by the equation [tex]5(x - 3) = 5x - 15[/tex].

A. Associative Property
B. Distributive Property
C. Inverse Property
D. Commutative Property

Sagot :

GinnyAnsweridn
To determine which property of real numbers is illustrated by the equation [tex]\(5(x-3) = 5x - 15\)[/tex], let's analyze the equation step by step.

1. Start with the left-hand side of the equation: [tex]\(5(x-3)\)[/tex].

2. Apply the property described by the equation to simplify [tex]\(5(x-3)\)[/tex]. This means distributing the multiplication over the subtraction inside the parentheses.

[tex]\[ 5(x-3) = 5 \cdot x - 5 \cdot 3 \][/tex]

3. Simplify the expression on the right side:

[tex]\[ 5 \cdot x - 5 \cdot 3 = 5x - 15 \][/tex]

4. Now we have:

[tex]\[ 5(x-3) = 5x - 15 \][/tex]

This process of distributing the multiplication over the terms inside the parentheses demonstrates a specific property of real numbers. The property that allows us to rewrite [tex]\(5(x-3)\)[/tex] as [tex]\(5x - 15\)[/tex] is known as the Distributive Property.

Thus, the correct answer is:

Distributive Property
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