The problem asks us to identify which of the given equations are equivalent to the equation $17q = 19$.

1. Problem Description

The problem asks us to identify which of the given equations are equivalent to the equation $17q = 19$.

2. Solution Steps

We need to check each equation to see if it can be derived from $17q = 19$ using properties of equality.

a) $17q - 6 = 11$. If we add 6 to both sides, we get $17q = 11 + 6 = 17$. This is not equivalent to $17q = 19$.

b) $17q - 15 = 4$. If we add 15 to both sides, we get $17q = 4 + 15 = 19$. This is equivalent to $17q = 19$.

c) $17q - 2 = 17$. If we add 2 to both sides, we get $17q = 17 + 2 = 19$. This is equivalent to $17q = 19$.

d) $17q - 14 = 5$. If we add 14 to both sides, we get $17q = 5 + 14 = 19$. This is equivalent to $17q = 19$.

3. Final Answer

The equations that are equivalent to $17q = 19$ are:

$17q - 15 = 4$

$17q - 2 = 17$

$17q - 14 = 5$