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?

a) 1. Multiplication Property of Equality 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality

b)1. Distributive Property 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality

c)1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality

d)1. Multiplication Property of Equality 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth are correct.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the equation:

[tex]\rm 4x+\frac{1}{2} (10x-4)=6[/tex]

4x + 5x -2 = 6 (Multiplication proeprty of equality or Distributive property)

9x - 2 = 6 (combine like term)

9x = 8 (addition property of equality)

x = 8/9 (division property of equality)

Thus, the justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth is correct.

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