Respuesta :

Answer:

[tex]w=\dfrac12I-1[/tex]

Or  [tex]w=\dfrac12(I-2)[/tex]

(both are correct - just different ways of writing the equation)

Step-by-step explanation:

[tex]I = 2(w + 1)[/tex]

Expand the bracket:

[tex]\implies I = 2w + 2[/tex]

Subtract 2 from both sides:  

[tex]\implies I - 2 = 2w + 2 - 2\\\\\implies I - 2 = 2w[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{I-2}{2}=\dfrac{2w}{2}[/tex]

[tex]\implies w=\dfrac12I-1[/tex]

Solution:

Simplify the equation and solve for w.

  • l = 2(w + 1)
  • => l = 2w + 2
  • => l - 2 = 2w
  • => l/2 - 2/2 = 2w/2
  • => l/2 - 1 = w

The value of w is l/2 - 1 .