Respuesta :

No equation is true when the value of x is 8

Step-by-step explanation:

The equation is true if the left hand side is equal to the right

hand side, to prove that

  • Write the left hand side
  • Substitute the value of x
  • Find the value of the left hand side (L.H.S)
  • If the answer equal the value in the right hand side (R.H.S then the equation is true at this value of x

A.

∵ 6x - 20 = 32

∴ L.H.S = 6x - 20

∵ x = 8

∴ L.H.S = 6(8) - 20 = 48 - 20 = 28

∵ R.H.S = 32

L.H.S ≠ R.H.S

∴ The equation is not true when x = 8

B.

∵ 16 - [tex]\frac{1}{8}[/tex] x = 12

∴ L.H.S = 16 - [tex]\frac{1}{8}[/tex] x

∵ x = 8

∴ L.H.S = 16 - [tex]\frac{1}{8}[/tex] (8) = 16 - 1 = 15

∵ R.H.S = 12

L.H.S ≠ R.H.S

∴ The equation is not true when x = 8

C.

∵ 20 - 0.4x = 13.8

∴ L.H.S = 20 - 0.4x

∵ x = 8

∴ L.H.S = 20 - 0.4(8) = 20 - 3.2 = 16.8

∵ R.H.S = 13.8

L.H.S ≠ R.H.S

∴ The equation is not true when x = 8

D.

∵ [tex]\frac{1}{5}[/tex] x + 12 = 30

∴ L.H.S = [tex]\frac{1}{5}[/tex] x + 12

∵ x = 8

∴ L.H.S = [tex]\frac{1}{5}[/tex] (8) + 12 = [tex]\frac{8}{5}[/tex] + 12 = 13.6

∵ R.H.S = 30

L.H.S ≠ R.H.S

∴ The equation is not true when x = 8

No equation is true when the value of x is 8

Learn more:

You can learn more about the equations in brainly.com/question/2386054

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