Respuesta :

renknee

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)
  • n = 4n - 75

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.