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**Solve for Z:** Given the equation: \[ X = \frac{2}{3} (Y + Z) \] Isolate \( Z \) to find its value. \[ Z = \] To solve for \( Z \), follow these steps: 1. Start with the original equation: \[ X = \frac{2}{3}(Y + Z) \] 2. Multiply both sides of the equation by \( \frac{3}{2} \) to eliminate the fraction: \[ \frac{3}{2}X = Y + Z \] 3. Isolate \( Z \) by subtracting \( Y \) from both sides: \[ Z = \frac{3}{2}X - Y \] So, the solution for \( Z \) is: \[ Z = \frac{3}{2}X - Y \] By following these steps, you will be able to solve for \( Z \) in the given equation.

**Solve for Z:** Given the equation: \[ X = \frac{2}{3} (Y + Z) \] Isolate \( Z \) to find its value. \[ Z = \] To solve for \( Z \), follow these steps: 1. Start with the original equation: \[ X = \frac{2}{3}(Y + Z) \] 2. Multiply both sides of the equation by \( \frac{3}{2} \) to eliminate the fraction: \[ \frac{3}{2}X = Y + Z \] 3. Isolate \( Z \) by subtracting \( Y \) from both sides: \[ Z = \frac{3}{2}X - Y \] So, the solution for \( Z \) is: \[ Z = \frac{3}{2}X - Y \] By following these steps, you will be able to solve for \( Z \) in the given equation.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Solve for Z:** Given the equation: \[ X = \frac{2}{3} (Y + Z) \] Isolate \( Z \) to find its value. \[ Z = \] To solve for \( Z \), follow these steps: 1. Start with the original equation: \[ X = \frac{2}{3}(Y + Z) \] 2. Multiply both sides of the equation by \( \frac{3}{2} \) to eliminate the fraction: \[ \frac{3}{2}X = Y + Z \] 3. Isolate \( Z \) by subtracting \( Y \) from both sides: \[ Z = \frac{3}{2}X - Y \] So, the solution for \( Z \) is: \[ Z = \frac{3}{2}X - Y \] By following these steps, you will be able to solve for \( Z \) in the given equation.
Transcribed Image Text:**Solve for Z:** Given the equation: \[ X = \frac{2}{3} (Y + Z) \] Isolate \( Z \) to find its value. \[ Z = \] To solve for \( Z \), follow these steps: 1. Start with the original equation: \[ X = \frac{2}{3}(Y + Z) \] 2. Multiply both sides of the equation by \( \frac{3}{2} \) to eliminate the fraction: \[ \frac{3}{2}X = Y + Z \] 3. Isolate \( Z \) by subtracting \( Y \) from both sides: \[ Z = \frac{3}{2}X - Y \] So, the solution for \( Z \) is: \[ Z = \frac{3}{2}X - Y \] By following these steps, you will be able to solve for \( Z \) in the given equation.
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