Question

1. if \\(\frac{ey}{n} + k = t\\), what is \\(y\\) in terms of \\(e, n, k,\\) and \\(t\\)? \\(\square\\ y = \frac{tn + k}{e}\\) \\(\square\\ y = \frac{tn - k}{e}\\) \\(\square\\ y = \frac{n(t + k)}{e}\\) \\(\square\\ y = \frac{n(t - k)}{e}\\)

Explanation:

Step1: Isolate the fraction term

Subtract \( k \) from both sides of the equation \(\frac{ey}{n}+k = t\) to get \(\frac{ey}{n}=t - k\).

Step2: Solve for \( y \)

Multiply both sides by \( n \) to obtain \( ey=n(t - k) \), then divide both sides by \( e \) to get \( y=\frac{n(t - k)}{e} \).

Answer:

\( y = \frac{n(t - k)}{e} \) (the last option: \( y=\frac{n(t - k)}{e} \))