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How many solutions does the equation 4x + 2(x – 5) = 3(2x – 4) have?

A.

no solution

B.

exactly one solution

C.

at least two solutions

D.

infinitely many solutions

Respuesta :

Answer:

No solution

Step-by-step explanation:

If you develop a little both sides of the equation you will have

6x-10=6x-12

Which leaves you to anything

And since you dont have anything else to use as an equation, there is nothing else we can do about

       A mathematical equation is usually composed of a constant(here it is x), arithmetic operations, and a variable. Without that, we can't have a mathematical equation.

From the given equation:

  • We have 4x + 2(x -5) = 3(2x - 4)

By opening the brackets, we have:

  • 4x + 2x - 10 = 6x - 12
  • 6x - 10 = 6x - 12

By collecting the like terms, we have:

  • 6x - 6x = -12 + 10
  • 0 = -2

        Thus, since there is no constant pointing to a variable, then there is no solution at all.

         Therefore, we can conclude that the correct option is A as there is no solution in the equation 4x + 2(x – 5) = 3(2x – 4)

Learn more about mathematical equations here:

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