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What are the possible steps involved in solving the equation shown? Check all that apply.

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.
Divide both sides by 9.38.

Respuesta :

edrush1957G
Here are the steps that you use to solve this equation:

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

REALLY HOPE THIS HELPS :)
pierinagiusiano

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:

We have the expression [tex]3.5 + 1.2(6.3 -7x) = 9.38[/tex], we have to solve for x, and we are going to solve step by step.

1. We can distribute 1.2 to 6.3 and -7x, this is:

[tex]3.5 + 1.2(6.3 -7x) = 9.38\\3.5+(1.2)*(6.3)+(1.2)*(-7x)=9.38\\3.5+7.56-8.4x=9.38[/tex]

2. We can combine 3.5 and 7.56

[tex]3.5+7.56-8.4x=9.38\\11.06-8.4x=9.38[/tex]

3. We can subtract 11.06 from both sides of the equation:

[tex]11.06-8.4x=9.38\\11.06-8.4x-11.06=9.38-11.06\\-8.4x=-1.68[/tex]

4. For the last step we are going to divide both sides in (-8.4):

[tex]\frac{-8.4x}{(-8.4)}=\frac{-1.68}{(-8.4)} \\\\x=0.2[/tex]

We obtain that x=0.2

And the steps we use from the list are:

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

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