The balanced equation for nitrogen monoxide plus carbon equals carbon dioxide and nitrogen is:

2 NO + C → CO₂ + N₂

Here's why:

* Reactants:

* Nitrogen monoxide (NO)

* Carbon (C)

* Products:

* Carbon dioxide (CO₂)

* Nitrogen (N₂)

* Balancing:

* There are 2 nitrogen atoms on the left side and 2 on the right side.

* There is 1 oxygen atom on the left side and 2 on the right side. To balance this, we put a coefficient of 2 in front of NO.

* There is 1 carbon atom on each side.

This equation now shows that the number of each type of atom is the same on both sides of the reaction, making it balanced.