Chapter 9 - Basic Algebra - 9.8 Using Equations to Solve Application Problems - 9.8 Exercises - Page 689: 26

number = 9

Let the number be x sum of 8 and five times a number is 53 5 times a number means 5x, So 5x + 8 the result is 53 5x + 8 = 53 Solve the equation Subtract 8 on both sides of the equation 5x + 8 - 8 = 53 - 8 5x = 45 Divide 5 on both sides of the equation $\frac{5x}{5}$ = $\frac{45}{5}$ x = 9 The solution is 9 Check. Go back to the original equation 5x + 8 =53 Replace x with 9 5*9 +8 = 53 45 +8= 53 53 =53 True, so 9 is the correct solution