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3 years ago

What is the reason for each strip on the solution of the equation?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

Equation:

Given:

$2x = -4(x-3)$

Applying Distributive property a(b+c)=ab+ac

$2x=-4x+12$

Now, Applying addition property of equality:

Adding +4x on both sides

$2x+4x=-4x+12+4x\\6x=12$

Now, Applying Division property of Equality:

Divide both sides by 6:

$\frac{6x}{6}=\frac{12}{6}\\x=2$

So, Answer will be:

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

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Which of the following graph represents the equation y-2=3(x-1)

pshichka [43]

Answer with explanation:

To draw the graph of linear equation of the form

y-a=m (x-b)

We will first write it in slope intercept form which is of the form

$\frac{x}{a}+\frac{y}{b}=1\\\\\rightarrow y-2=3 \times (x-1)\\\\\rightarrow y-2=3 x-3\\\\\rightarrow 3 x-y=3-2\\\\\rightarrow 3 x-y=1\\\\\rightarrow \frac{x}{\frac{1}{3}}+\frac{y}{-1}=1$

It will cut x axis and y axis at , $(\frac{1}{3},0) \text{and} (0,1)$ respectively.

As Euclid postulate States that, Unique equation of line can be Determined by two points,So join these two points.And Infinite number of points lie on a line.

Graph B

6 0

3 years ago

Simplify (x - y + 1) - (x + y - 1)

bulgar [2K]

<span>(x - y + 1) - (x + y - 1)

x - y + 1 - x - y + 1

= (x - x) + (y - y) + (1 + 1)

= -2y + 2

In short, Your Answer would be: -2y + 2

Hope this helps!</span>

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3 years ago

Read 2 more answers

How do you multiply 40 7 /16?

nadya68 [22]

40 X 7/16?
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3 years ago

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PLEASEEE HELPPP ME PLSSSSS

babymother [125]

Answer:

y = -5x +5

Step-by-step explanation:

slope = (15 - -5)/(-2 - 2) = 20/-4 = <u>-5</u>

y int = 5

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3 years ago

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What is the difference written in scientific notation? 0.00067 - 2.3 x 10^5

shepuryov [24]

0.00067=67X10^5 so

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6.47X10^6

(not sure if it matters to you or not, but technically we only had two significant figures so it should be rounded to 6.5X10^6)

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4 years ago