A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 33, where x represents the smaller number. Plug in the numbers from the set {3, 5, 7, 9} to find the value of x. The value of x that holds true for the equation is blank . So, the smaller number is blank and the larger number is blank .

Answer:x=7Step-by-step explanation:Solve for x: 3 x + x + 5 = 33 x + 3 x = 4 x: 4 x + 5 = 33 Subtract 5 from both sides: 4 x + (5 - 5) = 33 - 5 5 - 5 = 0: 4 x = 33 - 5 33 - 5 = 28: 4 x = 28 Divide both sides of 4 x = 28 by 4: (4 x)/4 = 28/4 4/4 = 1: x = 28/4 The gcd of 28 and 4 is 4, so 28/4 = (4×7)/(4×1) = 4/4×7 = 7: Answer:  x = 7