Which of the following equations has infinitely many real solutions?
A. 5(x − 5) = 5x − 25
B. 5x + 1 = x − 1
C. 5(x − 5) = 5x + 25
D. 5x + 1 = 5x − 1

Respuesta :

Answer:

a

Step-by-step explanation:

  1. 5(x-5) =5x-25
  2. expand 5x-25=5x-25
  3. therefore both sides are equal and has a real solution

An equation has infinitely many solutions if L.H.S = R.H.S. hence, option (A) will be the correct answer.

What is a unique solution?

An equation has a real unique solution if the value of x is a single answer.

If the equation has so many answers then it will not be a unique solution.

Given that in option (A)

⇒  5(x − 5) = 5x − 25

⇒ 5x - 25 = 5x - 25

L.H.S = R.H.S

Since its left-hand side is equal to the right-hand side so it will be the right equation.

For more details about real solutions

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