Set Up a System of Equations, and Use It to Balance

Multiple Choice

Set up a system of equations, and use it to balance the chemical equation for the given reaction.
- $\mathrm{Fe}_{3} \mathrm{O}_{4}$ and $\mathrm{H}_{2}$ react to produce $\mathrm{Fe}$ and $\mathrm{H}_{2} \mathrm{O}$ .

A) $\mathrm{Fe}_{3} \mathrm{O}_{4}+4 \mathrm{H}_{2} \rightarrow 2 \mathrm{Fe}+3 \mathrm{H}_{2} \mathrm{O}$
B) $\mathrm{Fe}_{3} \mathrm{O}_{4}+2 \mathrm{H}_{2} \rightarrow 3 \mathrm{Fe}+2 \mathrm{H}_{2} \mathrm{O}$
C) $\mathrm{Fe}_{3} \mathrm{O}_{4}+4 \mathrm{H}_{2} \rightarrow 3 \mathrm{Fe}+4 \mathrm{H}_{2} \mathrm{O}$
D) $\mathrm{Fe}_{3} \mathrm{O}_{4}+2 \mathrm{H}_{2} \rightarrow 3 \mathrm{Fe}+4 \mathrm{H}_{2} \mathrm{O}$