Question
- 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.
Multiply each side by
Divide each side by 2
2. You are given the equation
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.
Diviser chaque côté de l’équation par 3 simplifie l’équation avant de procéder à la distribution.
Étapes de Résolution:
- Diviser chaque côté par 3:
- 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!