Consider V₁ = 16 V acting alone.

1.2 Use the superposition method to calculate the current flowing through a $19 \, \Omega$ resistor in FIGURE 1.

The superposition theorem requires us to consider each independent source acting alone while all other independent sources are turned off (voltage sources are short-circuited, current sources are open-circuited).

Step 1: Consider $V_1 = 16 \, \text{V}$ acting alone.
Deactivate $V_2 = 13 \, \text{V}$ by replacing it with a short circuit.

The circuit now consists of $V_1$, $14 \, \Omega$, $21 \, \Omega$, $17 \, \Omega$, $8 \, \Omega$, and $19 \, \Omega$.