The problem asks us to solve two equations for $k$: a) $\frac{k}{5} + 8 = 9$ b) $\frac{k+8}{5} = 9$

1. Problem Description

The problem asks us to solve two equations for $k$:

a) $\frac{k}{5} + 8 = 9$

b) $\frac{k+8}{5} = 9$

2. Solution Steps

a) $\frac{k}{5} + 8 = 9$

Subtract 8 from both sides of the equation:

$\frac{k}{5} + 8 - 8 = 9 - 8$

$\frac{k}{5} = 1$

Multiply both sides of the equation by 5:

$5 * \frac{k}{5} = 5 * 1$

$k = 5$

b) $\frac{k+8}{5} = 9$

Multiply both sides of the equation by 5:

$5 * \frac{k+8}{5} = 5 * 9$

$k + 8 = 45$

Subtract 8 from both sides of the equation:

$k + 8 - 8 = 45 - 8$

$k = 37$

3. Final Answer

a) $k = 5$

b) $k = 37$