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Grade 12Mechanics

Please solve 17 (answer in terms of w only).And also answer is not 7w/4, it has `e` in it, so read the question properly please thanks

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Profile image of Shaunak Natarajan
9 Years agoGrade 12
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1 Answer

Profile image of Askiitians Tutor Team
ApprovedApproved Tutor Answer1 Year ago

To solve the equation \( 17 = 7w + e \) for \( w \), we need to isolate \( w \) on one side of the equation. Let's break this down step by step.

Step-by-Step Solution

We start with the equation:

17 = 7w + e

Our goal is to express \( w \) in terms of \( e \). To do this, we need to isolate \( w \). Here’s how we can achieve that:

1. Rearranging the Equation

First, we want to move \( e \) to the left side of the equation. We can do this by subtracting \( e \) from both sides:

17 - e = 7w

2. Isolating \( w \)

Now that we have \( 7w \) on one side, we can isolate \( w \) by dividing both sides of the equation by 7:

w = (17 - e) / 7

Final Expression

So, the solution for \( w \) in terms of \( e \) is:

w = (17 - e) / 7

This expression shows how \( w \) depends on the value of \( e \). If you have a specific value for \( e \), you can substitute it into this equation to find the corresponding value of \( w \).

Example Calculation

Let’s say \( e = 3 \). We can substitute this value into our equation:

w = (17 - 3) / 7

w = 14 / 7

w = 2

This example illustrates how you can find \( w \) for a specific value of \( e \). If you have any further questions or need clarification on any step, feel free to ask!