Answer :
To find which numbers belong to the solution set of the equation [tex]\(15x = 750\)[/tex], follow these steps:
1. Solve the equation for [tex]\(x\)[/tex]:
[tex]\[
15x = 750
\][/tex]
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 15:
[tex]\[
x = \frac{750}{15}
\][/tex]
2. Calculate the value of [tex]\(x\)[/tex]:
[tex]\[
x = 50
\][/tex]
3. Identify which options match this solution:
Look at the given choices and see if any of them equal 50:
- A. 30
- B. 150
- C. 5
- D. 41
- E. 45
- F. 50
Out of these options, F. 50 is the number that matches our solution for [tex]\(x\)[/tex].
Therefore, the number that belongs to the solution set of the equation [tex]\(15x = 750\)[/tex] is 50.
1. Solve the equation for [tex]\(x\)[/tex]:
[tex]\[
15x = 750
\][/tex]
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 15:
[tex]\[
x = \frac{750}{15}
\][/tex]
2. Calculate the value of [tex]\(x\)[/tex]:
[tex]\[
x = 50
\][/tex]
3. Identify which options match this solution:
Look at the given choices and see if any of them equal 50:
- A. 30
- B. 150
- C. 5
- D. 41
- E. 45
- F. 50
Out of these options, F. 50 is the number that matches our solution for [tex]\(x\)[/tex].
Therefore, the number that belongs to the solution set of the equation [tex]\(15x = 750\)[/tex] is 50.
