Solving Linear Equations in Two Variables: Step-by-Step Algebra Example #2257632 (License: Personal Use)

The image displays a five-step algebraic manipulation starting from the original equation x(2y-5)=y+4, expanding terms, collecting like terms, factoring, and finally solving for y as a rational function: y = (4 + 5x)/(2x - 1). Each line shows a logically progressive transformation, ideal for teaching equation-solving techniques in intermediate algebra. The final expression highlights domain restrictions where 2x - 1 ≠ 0.

Used in educational web pages, math tutorials, or Khan Academy-style lessons on solving linear equations with two variables; targets students learning algebraic manipulation and isolation of variables.