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.

Question

Mathematics

Jakayla Madden

6 June, 06:51

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.

+3

Answers (1)

Know the Answer?

Mueller · Answer 1

x=7

Step-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