The problem asks us to identify which of the given equations are equivalent to the equation $14 = t + u$. We will use properties of equality to determine the equivalent equations.

1. Problem Description

The problem asks us to identify which of the given equations are equivalent to the equation $14 = t + u$. We will use properties of equality to determine the equivalent equations.

2. Solution Steps

We are given the equation $14 = t + u$.

We need to determine which of the following equations are equivalent to the given equation:

1. $4 = t + u - 10$

2. $5 = t + u - 9$

3. $11 = t + u - 3$

4. $9 = t + u - 6$

Equation 1: $4 = t + u - 10$. Adding 10 to both sides gives $14 = t + u$. So, this equation is equivalent.

Equation 2: $5 = t + u - 9$. Adding 9 to both sides gives $14 = t + u$. So, this equation is equivalent.

Equation 3: $11 = t + u - 3$. Adding 3 to both sides gives $14 = t + u$. So, this equation is equivalent.

Equation 4: $9 = t + u - 6$. Adding 6 to both sides gives $15 = t + u$. So, this equation is NOT equivalent.

3. Final Answer

The equations equivalent to $14 = t + u$ are:

$4 = t + u - 10$

$5 = t + u - 9$

$11 = t + u - 3$