contestada

22. A student concluded that 8x - 12 =
solutions. Which statement BEST describes the student's conclusion?
= 4(x - 6) has infinitely many
A. The conclusion is incorrect because the equation has no solution
B. The conclusion is incorrect because there is exactly one solution to the equation.
C. The conclusion is correct because there are exactly two solutions to the equation.
D. The conclusion is correct because when simplified, both sides of the equation are
equivalent.

Respuesta :

mhanifa

Answer:

  • B. The conclusion is incorrect because there is exactly one solution to the equation.

Step-by-step explanation:

Given equation:

  • 8x - 12 = 4(x - 6)

Solve it:

  • 8x - 12 = 4x - 24
  • 8x - 4x = 12 - 24
  • 4x = -12
  • x = -3

It has one solution

Correct choice is B

VirαtKσhli

Given :-

  • A student concluded that 8x - 12 =
  • solutions. Which statement BEST describes the student's conclusion?
  • = 4(x - 6) has infinitely many
  • A. The conclusion is incorrect because the equation has no solution
  • B. The conclusion is incorrect because there is exactly one solution to the equation.
  • C. The conclusion is correct because there are exactly two solutions to the equation.
  • D. The conclusion is correct because when simplified, both sides of the equation are
  • equivalent.

To Find ;-

  • The correct choice .

Solution :-

Taking the given equation :-

  • 8x - 12 = 4(x - 6 )
  • 8x - 4x = -24+12
  • 4x = -12
  • x = 3

Hence it has only one solution .

Option B is correct

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