Elimination by Multiplication - Examples & Practice

Ezra, Sarah, and Michelle decide to go running through their neighborhood along different paths. They all plan to meet at one specific point in town.

• Sarah's path follows the line $2x+7y=6$.
• Ezra's path follows the line $3x-2y=9$.
• Michelle's path follows the line $9x+2y=27$.

Given this information, find the point at which they all meet.