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marysya [2.9K]
3 years ago
9

Name the property illustrated by 5 (x + y) = 5 (y + x) . a. Distributive Property b. Commutative Property of Addition c. Associa

tive Property of Addition d. Commutative Property of Multiplication
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Given:

5 (x + y) = 5 (y + x)

Solution:

Here, we need to find the property illustrated by this equation.

It the given equation, we write (x+y) as (y+x).

According to the Commutative Property of Addition, if a and b are two real numbers, then

a+b=b+a

It means, Commutative Property of Addition is illustrated by the given equation.

Therefore, the correct option is b, i.e., Commutative Property of Addition.

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Simplify: (2x - 4) - (6x + 6)
tatiyna

<h3>(2x - 4) - (6x + 6) = -2( 2x + 5 )</h3>

<h3>Further explanation</h3>

Order of Operations in Mathematics follow this following rule :

  1. Parentheses
  2. Exponents
  3. Multiplication and Division
  4. Addition and Subtraction

This rule is known as the PEMDAS method.

Let us tackle the problem!

(2x - 4) - (6x +6) = 2x - 4 - 6x - 6 ⇒ open parenthesis

(2x - 4) - (6x +6) = 2x - 6x - 4 - 6 ⇒ rearrange term

(2x - 4) - (6x +6) = (2 - 6)x - 10 ⇒ factorize

(2x - 4) - (6x +6) = -4x - 10

\large {\boxed {(2x - 4) - (6x +6) = -2( 2x + 5 ) } }

<h2>Another Example :</h2>

(2x - 4) + (6x +6) = 2x - 4 + 6x + 6 ⇒ open parenthesis

(2x - 4) + (6x +6) = 2x + 6x - 4 + 6 ⇒ rearrange term

(2x - 4) + (6x +6) = (2 + 6)x + 2 ⇒ factorize

(2x - 4) + (6x +6) = 8x + 2

\large {\boxed {(2x - 4) + (6x +6) = 2( 4x + 1 ) } }

<h3>Learn more</h3>
  • Infinite Number of Solutions : brainly.com/question/5450548
  • System of Equations : brainly.com/question/1995493
  • System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

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Someone please help and thank you
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