Question
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  1. Match these pairs of equations with the description of what is done in each step.
A:
Step 2:
B:
Multiply each side by
Step 3:
C
Divide each side by 2
2. You are given the equation . Is your first step to distribute or divide? Explain your reasoning.



Ask by Wells Martinez. in the United States
Jan 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

1. Correspondance des Étapes

Étape 1:
Description:
  • C: Diviser chaque côté par 2
Étape 2:
Description:
  • A: Ajouter 3 à chaque côté
Étape 3:
Description:
  • B: Multiplier chaque côté par

2. Résolution de l’équation

Première Étape: Diviser
Raisonnement:
Diviser chaque côté de l’équation par 3 simplifie l’équation avant de procéder à la distribution.
Étapes de Résolution:
  1. Diviser chaque côté par 3:
  2. Ajouter 2 des deux côtés:
Solution Finale:

Solution

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Extra Insights

To match the equations with their descriptions:
For Step 1, the equation is simplified by dividing each side by 2, which corresponds to option C. This reduces the equation to .
In Step 2, then becomes after you add 3 to both sides, which corresponds to option A. The final step, Step 3, where you find , is achieved by dividing both sides by 6 (option B).

When faced with the equation , your first step should be to distribute. This is because you need to simplify the left side of the equation fully before moving to isolate . Distributing gives . After simplifying, you can proceed to isolate by adding 6 to both sides and solving for . Dividing at this stage doesn’t simplify the equation effectively!

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