Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 85

No Solution Using set notation: { }

To solve the equation: $\frac{x}{3}$ + 2 = $\frac{x}{3}$ We start by subtracting $\frac{x}{3}$ from both sides of the equation. $\frac{x}{3}$ - $\frac{x}{3}$ + 2 = $\frac{x}{3}$ - $\frac{x}{3}$ Performing the subtraction, we get 2 = 0. Since 2 = 0 is not a true statement and there is no way they can be made equal, we have no solution.