Answer:
Option B, C and D are correct choices.
Step-by-step explanation:
We have been given an equation [tex]3.5+1.2(6.3-7x)=9.38[/tex]. We are asked to choose the steps that are involved in solving the equation.
Let us solve the equation.
Using distributive property [tex]a(b+c)=ab+ac[/tex], we will distribute 1.2 to 6.3 and [tex]-7x[/tex].
[tex]3.5+1.2*6.3-1.2*7x=9.38[/tex]
[tex]3.5+7.56-8.4x=9.38[/tex]
Therefore, option B is the correct choice.
Now, we will combine like terms.
[tex]11.06-8.4x=9.38[/tex]
Therefore, option C is the correct choice.
Now, we will subtract 11.06 from both sides of our equation.
[tex]11.06-11.06-8.4x=9.38-11.06[/tex]
[tex]-8.4x=-1.68[/tex]
Therefore, option D is the correct choice.
Now, to solve for x, we need to divide both sides of our equation by [tex]-8.4[/tex]
[tex]\frac{-8.4x}{-8.4}=\frac{-1.68}{-8.4}[/tex]
[tex]x=0.2[/tex]
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:
[tex]3.5+1.2(6.3-7x)=9.38 \\3.5+7.56-8.4x=9.38[/tex]
Then adding the 3.5 to 7.56 to simplify it:
[tex]3.5+7.56-8.4x=9.38\\\11.06-8.4x=9.38[/tex]
The next step in order to isolate is to subtract 11.06 from both sides
[tex]11.06-8.4x-11.06=9.38-11.06[/tex]
Then it goes on
[tex]-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}\}[/tex]
