Question

What are the possible steps involved in solving the equation shown? Select three options.

3.5 + 1.2(6.3 – 7x) = 9.38

Add 3.5 and 1.2.
Distribute 1.2 to 6.3 and –7x .
Combine 6.3 and –7x .
Combine 3.5 and 7.56.
Subtract 11.06 from both sides.

Answer 1

Distribute 1.2 to 6.3 and –7x;

Combine 3.5 and 7.56.

Subtract 11.06 from both sides.

Explanation:

To answer this expression. Let's follow P.E.M.D.A. order, the acronym for PArenthesis, Exponents, Multiplication, Division and Addends. So distributing the factor 1.2 to the parenthesis content:

`3.5+1.2(6.3-7x)=9.38 \\3.5+7.56-8.4x=9.38`

Then adding the 3.5 to 7.56 to simplify it:

`3.5+7.56-8.4x=9.38\\\11.06-8.4x=9.38`

The next step in order to isolate is to subtract 11.06 from both sides

`11.06-8.4x-11.06=9.38-11.06`

Then it goes on

`-8.4x=-1.68\:\:*(-1)\\8.4x=1.68\Rightarrow x=(1.68)/(8.4)\Rightarrow x=(1)/(5)\\S=\{ {(1)/(5)\}`

Answer 2

Option B, C and D are correct choices.

Explanation:

We have been given an equation
`3.5+1.2(6.3-7x)=9.38`. We are asked to choose the steps that are involved in solving the equation.

Let us solve the equation.

Using distributive property
`a(b+c)=ab+ac`, we will distribute 1.2 to 6.3 and
`-7x`.

`3.5+1.2*6.3-1.2*7x=9.38`

`3.5+7.56-8.4x=9.38`

Therefore, option B is the correct choice.

Now, we will combine like terms.

`11.06-8.4x=9.38`

Therefore, option C is the correct choice.

Now, we will subtract 11.06 from both sides of our equation.

`11.06-11.06-8.4x=9.38-11.06`

`-8.4x=-1.68`

Therefore, option D is the correct choice.

Now, to solve for x, we need to divide both sides of our equation by
`-8.4`

`(-8.4x)/(-8.4)=(-1.68)/(-8.4)`

`x=0.2`