Question

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 1

Answer:

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

Answer 2

The larger number is 26 and the smaller number is 7.

What are the numbers?

To determine the solution, take the following steps:

The given equation is  x + 3x + 5 = 33

Combine similar terms: x + 3x =33 - 5

Add similar terms: 4x = 28

Divide both sides by 4 : 7

The larger number = 33 - 7 = 26

To learn more about division, please check: https://brainly.com/question/13281206

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