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Which number(s) below belong to the solution set of the equation? Check all that apply.

[tex]15x = 750[/tex]

A. 5
B. 50
C. 30
D. 150
E. 45
F. 41

Answer :

To solve the equation [tex]\(15x = 750\)[/tex], we need to find the value of [tex]\(x\)[/tex] that satisfies it. Let’s go through the steps:

1. Solve for [tex]\(x\)[/tex]:
- The equation is [tex]\(15x = 750\)[/tex].
- To find [tex]\(x\)[/tex], divide both sides of the equation by 15:
[tex]\[
x = \frac{750}{15}
\][/tex]

2. Calculate:
- When you divide 750 by 15, you get:
[tex]\[
x = 50
\][/tex]

3. Identify the solution set:
- We now know that the solution to the equation is [tex]\(x = 50\)[/tex].

4. Check which numbers belong to the solution set:
- Look at the given numbers: A. 5, B. 50, C. 30, D. 150, E. 45, F. 41.
- Compare [tex]\(x = 50\)[/tex] with the choices.

5. Determine the correct choice:
- The only number that equals 50 is option B.

So, the number that belongs to the solution set of the equation [tex]\(15x = 750\)[/tex] is:
- B. 50

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