Examine the linear equation .

MATHEMATICS · Multi-part · AoPS · Mathematics · One-Variable Linear Equations · One-Variable Linear Equations

Problem

Examine the linear equation

\dfrac{3}{4}x-2=\dfrac{1}{2}

. (i) Verify whether

x=2

satisfies the equation. (ii) If your answer to part (i) is ‘No’, determine the exact value of

x

that satisfies the equation and then verify your result.