Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 15

{11}

6x - 3 = 63 Step 1: Add 3 on both the sides 6x -3 + 3 = 63+3 Step 2: Simplify 6x = 66 Step 3: Divide both the sides by 6 $\frac{6x}{6}$ = $\frac{66}{6}$ 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 6x - 3 = 63 Step2: Substitute 11 for x 6.11 - 3 = 63 Step 3: Multiply 6.11= 66 66 -3 =63 Step 4: Subtract 66-3 = 63 63 = 63 Since the check results in true statement, we conclude that the solution set of the given equation is {11}