Choose the property that justifies each step.
5(x - 1) = 4x+ 13

1) 5x- 5 = 4x + 13 ________

2)X- 5 = 13 ________

3) x= 18________

Options for each answer:

•Addition Property of Equality
•Distributive Property
•Multiplication Property of Equality
•Subtraction Property of Equality
•Transitive Property of Equality

Answers

Answer 1

Answer:

1. Distributive Property

2. Subtraction Property of Equality

3. Addition Property of Equality

Answer 2

The property that justifies each step of 5(x-1) = 4x + 13 is 5x - 5 = 4x + 13.

What is distributive property ?

Distributive property is when we distribute and multiply in between addition and subtraction

Given 5(x-1) = 4x + 3.

We know a(b+c) = ab + ac which is distributive property.

So, 5(x-1) = 4x + 3.

5x - 5 = 4x + 3.

Solving these problem and finding the value of x

5x - 5 = 4x + 13.

5x - 4x = 13 + 5.

x = 18.

learn more about distributive property here :

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A 10x − 35 = 5x − 40
B 10x + 35 = 5x + 40
C 10x + 40 = 5x + 35
D 10x − 40 = 5x − 35

Answers

Answer:

Step-by-step explanation:

The answer is A. 10x - 35

The answer is B
(10x + 35) = (5x + 40)
-5x -5
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-35 -35
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Answers

Answer:

k = 9

Step-by-step explanation:

For this, we can factor the top expression to look like the bottom expression.

So, first we have to find the gcf of 18 and [tex]x^{2}[/tex] and add up to 11x.

18[tex]x^{2}[/tex]            11x

1 and 18       19   - No

2 and 9       11    - Yes

3 and 6       9    - No

So, the numbers are 2 and 9. The expression should now look like this:

[tex]x^{2}[/tex] + 2x + 9x + 18

Now, undistribute the terms.

x(x + 2) + 9(x + 2)

(x+2)(x+9)

This matches up with the bottom expression.

The value of k is 9.

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[tex]the \: \: answer \: \: of \: \: this \: \: question \: \: is \: \:1 \frac{17}{25} [/tex]

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