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3 years ago

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

Mathematics

2 answers:

tatiyna3 years ago

8 0

<h3>Further explanation</h3>

Order of Operations in Mathematics follow this following rule :

Parentheses
Exponents
Multiplication and Division
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

riadik2000 [5.3K]3 years ago

3 0

Answer:

(2x - 4) - (6x + 6)= 2x - 4 - 6x – 6= 2x – 6x – 4 – 6= -4x – 10= -2(2x + 5)

Answer: -2(2x + 5)2.

Simplify:(8+4x)/4x

Solution:

(8+4x)/4x= 4(2 + x)/4x= (2 + x)/x

Cancel 4 from the numerator and denominator

Hey hope this helped you out, pm me for more information or concerns.

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Answer:

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Genrish500 [490]

Answer:

y= -4x+7

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line first.

$gradient = \frac{y1 - y2}{x1 - x2}$

Using the above formula,

$m = \frac{11 - ( - 5)}{ - 1 - 3} \\ m = \frac{11 + 5}{ - 4} \\ m = \frac{16}{ - 4} \\ m = - 4$

Susbt. m= -4 into the equation:

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Subst. a coordinate to find c.

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