The following demonstration takes place in a two-step process: First, solid calcium carbide $\left(\mathrm{CaC}_{2}\right)$ reacts with liquid water to produce acetylene gas $\left(\mathrm{C}_{2} \mathrm{H}_{2}\right)$ and aqueous calcium hydroxide. Second, the acetylene gas produced is then ignited with a match, causing the combustion reaction of acetylene with oxygen gas to produce gaseous carbon dioxide and gaseous water. Write the balanced equation for each reaction that is occurring.