# Systems of Linear Equations

# Translating a Word Problem into a System of Equations Examples

### Example 1

Set up a system of equations describing the following word problem: Whenever Anna drives, she goes one speed. Whenever Bob drives, he drives one speed. Anna and Bob went on a road trip together. They insist it is strictly platonic, but that goo-goo-ga-ga look in their eyes says differently. The first day Anna drove for 2 hours, Bob drove for 3 hours, and they went 340 miles. The second day Anna drove 4 hours, Bob drove 1 hour, and they went 330 miles. How fast does Anna drive? How fast does Bob drive? Will they or won't they? |