Answer
The value of y in the equation $x=\frac{5}{y}+4$ is $y=\frac{5}{x-4}$.
Work Step by Step
Solve for the value of y
$x=\frac{5}{y}+4$
Subtracting $4$ from both sides of the equation
$\begin{align}
& x-4=\frac{5}{y}+4-4 \\
& x-4=\frac{5}{y} \\
\end{align}$
Reverse the numerator and the denominator of the above equation from both sides and get
$\frac{1}{x-4}=\frac{y}{5}$
Multiply $5$ to both sides
$\begin{align}
& \frac{5}{x-4}=\frac{5y}{5} \\
& y=\frac{5}{x-4}
\end{align}$
Hence, the value of y in the equation $x=\frac{5}{y}+4$ is $y=\frac{5}{x-4}$.
