Droctavius
Droctavius Droctavius
  • 11-04-2022
  • Mathematics
contestada

if ey/n + k = t, what is y in terms of e, n, k, and t?

1) y= tn+k/e

2) y= tn-k/e

3) y= n(t+k)/e

4) y= n(t-k)/e​

Respuesta :

devishri1977
devishri1977 devishri1977
  • 11-04-2022

Answer:

option 4

Step-by-step explanation:

To write in terms of y

Step 1: subtract k from both sides

[tex]\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k[/tex]

Step 2: Multiply the entire equation by n

[tex]\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)[/tex]

Step 3: Divide the entire equation by 'e'

[tex]\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}[/tex]

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