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hichkok12 [17]
3 years ago
12

Bruno solved the following equation: 4x + one half(10x − 4) = 6 Step Work Justification 1 4x + 5x − 2 = 6 2 9x − 2 = 6 3 9x = 8

4 x = eight ninths Which of the following has all the correct justifications Bruno used to solve this equation? 1. Multiplication Property of Equality 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality 1. Distributive Property 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality 1. Multiplication Property of Equality 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality
Mathematics
1 answer:
beks73 [17]3 years ago
4 0

Answer:

Statement                                   Reason

1. 4x+5x-2=6                 1. Distributive Property

2. 9x-2=6                        2. Combine like terms

3. 9x=8                              3. Addition Property of Equality

4. x=\dfrac{8}{9}                               4. Division Property of Equality

Step-by-step explanation:

The given equation is

4x+\dfrac{1}{2}(10x-4)=6

Using distributive property, we get

4x+\dfrac{1}{2}(10x)+\dfrac{1}{2}(-4)=6

4x+5x-2=6

9x-2=6         (Combine like terms)

Using Addition Property of Equality, add 2 on both sides.

9x=6+2

9x=8

Using Division Property of Equality, divide both sides by 9.

x=\dfrac{8}{9}

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Answer:

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Step-by-step explanation:

The variable that you are looking for should be the simplified version of the number on the left.

That is where the 2 would come in. Both numbers should be divided by 4 to gat the answer.

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