Q:

What are the possible steps involved in solving the equation shown? Select three options.3.5 + 1.2(6.3 – 7x) = 9.38Add 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.

Accepted Solution

A:
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]