High School

Which number(s) below belong to the solution set of the equation [tex]22x = 902[/tex]? Check all that apply.

A. 41
B. 63
C. 44
D. 19
E. 902
F. 82

Answer :

To solve the equation [tex]\(22x = 902\)[/tex], we need to find which numbers from the given options make the equation true.

Step 1: Solve for [tex]\(x\)[/tex]

To find the value of [tex]\(x\)[/tex], we'll divide both sides of the equation by 22:

[tex]\[
x = \frac{902}{22}
\][/tex]

Simplifying, we get:

[tex]\[
x = 41
\][/tex]

Step 2: Check each option

Now, we will check each of the given options to see which one is equal to 41.

- A. 41: This matches our calculated value of [tex]\(x\)[/tex], so 41 is a solution.
- B. 63: This does not match 41, so it is not a solution.
- C. 44: This does not match 41, so it is not a solution.
- D. 19: This does not match 41, so it is not a solution.
- E. 902: This does not match 41, so it is not a solution.
- F. 82: This does not match 41, so it is not a solution.

The number that belongs to the solution set of the equation [tex]\(22x = 902\)[/tex] is:

- A. 41

Therefore, the correct solution is 41.