Answer:
number = 25
Step-by-step explanation:
❖ First, let's set up the equation.
- "75 less than four times a number" means 4x - 75
- "is equal to the number" means = n (n = number)
Solving
Step 1: Subtract 4n from both sides
- [tex]n-4n=4n-75-4n[/tex]
- [tex]-3n=-75[/tex]
Step 2: Divide both sides by -3.
- [tex]-3n/-3=-75/-3[/tex]
- [tex]n = 25[/tex]
Step 3: Check if solution is correct.
- [tex]25=4(25)-75[/tex]
- [tex]25=100-75[/tex]
- [tex]25=25[/tex]
Therefore, the number is 25.
