Question

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

Answer 1

Answer:

Distribute 1.2 to 6.3 and –7x;

Combine 3.5 and 7.56.

Subtract 11.06 from both sides.

Step-by-step 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

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

Answer 2

Answer:

Option B, C and D are correct choices.

Step-by-step 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 $-8.4$

$\frac{-8.4x}{-8.4}=\frac{-1.68}{-8.4}$

$x=0.2$