Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 19

{11}

14 - 5x = -41 Step 1: Subtract 14 from both the sides 14 -5x -14 = -41-14 Step 2: Simplify - 5x= -55 Step 3: Divide both the sides by -5 $\frac{-5x}{-5}$ = $\frac{-55}{-5}$ Step 4: Simplify x = 11 Now we check the proposed solution, 11, by replacing x with 11 in the original equation. Step 1: the original equation 14 - 5x = -41 Step2: Substitute 11 for x 14 - 5.(11) = -41 Step 3: Multiply 5.(11) = 55 14 - 55 = -41 Step 4: Solve 14 -55 = -41 -41 =-41 Since the check results in true statement, we conclude that the solution set of the given equation is {11}