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Systems of Linear Equations

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's 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?