Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Solve the equation R=r+400(W-L)/T for W

### Solving the Equation In this lesson, we will solve the given equation for \( W \). The equation is: \[ R = r + \frac{400(W - L)}{T} \] To isolate \( W \), we'll follow these steps: 1. **Subtract \( r \) from both sides**: \[ R - r = \frac{400(W - L)}{T} \] 2. **Multiply both sides by \( T \) to eliminate the denominator**: \[ T(R - r) = 400(W - L) \] 3. **Divide both sides by 400**: \[ \frac{T(R - r)}{400} = W - L \] 4. **Add \( L \) to both sides to solve for \( W \)**: \[ W = \frac{T(R - r)}{400} + L \] So, the solution for \( W \) is: \[ W = \frac{T(R - r)}{400} + L \] This represents the steps to isolate \( W \) in the given equation. Now, \( W \) is expressed in terms of \( R \), \( r \), \( T \), and \( L \). ### Summary Given the equation \( R = r + \frac{400(W - L)}{T} \), we solved for \( W \) and derived the formula: \[ W = \frac{T(R - r)}{400} + L \] Use these steps whenever you need to solve for \( W \) in a similar type of equation.
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Transcribed Image Text:### Solving the Equation In this lesson, we will solve the given equation for \( W \). The equation is: \[ R = r + \frac{400(W - L)}{T} \] To isolate \( W \), we'll follow these steps: 1. **Subtract \( r \) from both sides**: \[ R - r = \frac{400(W - L)}{T} \] 2. **Multiply both sides by \( T \) to eliminate the denominator**: \[ T(R - r) = 400(W - L) \] 3. **Divide both sides by 400**: \[ \frac{T(R - r)}{400} = W - L \] 4. **Add \( L \) to both sides to solve for \( W \)**: \[ W = \frac{T(R - r)}{400} + L \] So, the solution for \( W \) is: \[ W = \frac{T(R - r)}{400} + L \] This represents the steps to isolate \( W \) in the given equation. Now, \( W \) is expressed in terms of \( R \), \( r \), \( T \), and \( L \). ### Summary Given the equation \( R = r + \frac{400(W - L)}{T} \), we solved for \( W \) and derived the formula: \[ W = \frac{T(R - r)}{400} + L \] Use these steps whenever you need to solve for \( W \) in a similar type of equation.
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