Two bees have found a food source. The first bee’s path to the hive follows the line . The second bee’s path follows the line . Their paths cross at the hive. Use substitution to solve the problem.

Question

Two bees have found a food source.  The first bee’s path to the hive follows the line .  The second bee’s path follows the line .  Their paths cross at the hive.  Use substitution to solve the problem.
What are the coordinates of the hive?

Anonymous · Accepted Answer

The first bee’s path to the hive follows the line: y = 4/5 x. The second bee’s path follows the line: y = -2x + 3.

Anonymous · Answer

well (4/5) x = -2 x + 3 4 x = -10 x + 15 14 x = 15 x = 15/14 then y = (4/5)(15/14) = 12/14 = 6/7 (15/14 , 6/7 )

MathMate · Answer

Thank you Anonymous. I wish both of you use distinct pen names to avoid confusion.

Writeacher · Answer

Yes, it would be excellent if the answerer "Anonymous" (the one who gave all those numbers) would choose a distinct screen name to identify him/herself so there's no confusion with the others who go by Anonymous.