camdend785 camdend785
  • 03-11-2019
  • Mathematics
contestada

Which equation is an identity?
A.8x+9=8x-3
B.7x-2=8x+4-x
C.11-(2x+3)= -2x-8
D.5x+8-x=6x-2(x-4)

Respuesta :

jimrgrant1 jimrgrant1
  • 03-11-2019

Answer:

D

Step-by-step explanation:

To be an identity we require both sides of the equation to equate

A

8x + 9 ≠ 8x - 3 ← not an identity

B

7x - 2 = 8x + 4 - x = 7x + 4 ≠ 7x - 2 ← not an identity

C

11 - (2x + 3) = 11 - 2x - 3 = - 2x + 8 ≠ - 2x - 8 ← not an identity

D

5x + 8 - x = 6x - 2(x - 4), that is

4x + 8 = 6x - 2x + 8 = 4x + 8 ← both sides equate thus an identity

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