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Solving Linear Equations for Y: A Comprehensive Guide

This guide provides step-by-step solutions for a series of linear equations involving the variables X and Y. Key equations include Y + 2Y = 7, -X - X + 2Y = 7, and -2X + 3Y = 6. By systematically rewriting and solving these equations, we help clarify the relationships between the variables. The focus is on isolating Y and expressing it in terms of X, enabling readers to understand how to manipulate and solve similar equations in algebra. Ideal for students and anyone needing a refresher on solving linear equations.

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Solving Linear Equations for Y: A Comprehensive Guide

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  1. Rewriting equations to solve for Y

  2. X + 2Y = 7 Solve for Y - X -X 2Y = 7 – X 2 2 Y = 7 – X 2 1 X 2 Y = 7 - Y = -½X + 3½ 2

  3. -2X + 3Y = 6 Solve for Y + 2X +2X 3Y = 6 + 2X 3 3 Y = 6 + 2X 3 2X 3 Y = 6 3 + Y = ⅔X + 2

  4. 4X - 3Y = 8 Solve for Y - 4X -4X -3Y = 8 – 4X -3 -3 Y = 8 – 4X -3 4X -3 Y = 8 - Y = ⁴⁄₃X - 2⅔ -3

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