Studdy AI Logo
Math  /  Algebra

QuestionVlad tried to solve an equation step by step. −8p+14=42−8p=28p=−3.5 Step 1 Step 2\begin{aligned} -8 p+14 & =42 \\ -8 p & =28 \\ p & =-3.5 \quad \text { Step } 1 \\ & \text { Step } 2 \end{aligned}
Find Vlad's mistake.

Studdy Solution

STEP 1

1. Vlad is solving a linear equation step by step.
2. The goal is to isolate the variable p p .
3. Each step should correctly follow from the previous step.

STEP 2

1. Review Step 1: Check the transition from the first equation to the second equation.
2. Review Step 2: Check the transition from the second equation to the solution for p p .
3. Identify the mistake and correct it.

STEP 3

Review Step 1: Check the transition from the first equation to the second equation.
The original equation is:
−8p+14=42 -8p + 14 = 42
To isolate the term with p p , subtract 14 from both sides:
−8p+14−14=42−14 -8p + 14 - 14 = 42 - 14
This simplifies to:
−8p=28 -8p = 28
This step is correct.

STEP 4

Review Step 2: Check the transition from the second equation to the solution for p p .
The equation at this point is:
−8p=28 -8p = 28
To solve for p p , divide both sides by −8-8:
p=28−8 p = \frac{28}{-8}
Simplifying the fraction:
p=−288=−72=−3.5 p = -\frac{28}{8} = -\frac{7}{2} = -3.5
This step is correct.

STEP 5

Identify the mistake and correct it.
Upon reviewing the steps, there is no mistake in the calculations. Vlad's solution is correct.
There is no mistake in Vlad's solution. The final answer is p=−3.5 p = -3.5 .

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord