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 y 4/5 x . The second bee's path follows the line
y = -2x+3 Their paths cross at the hive. Use substitution to solve the problem.
What are the coordinates of the hive?
The coordinate of the hive is the point of interaction of the two lines. We have the two equations: [tex]y=4/5x\\y=-2x+3\\\text{By substitution we get:}\\4/5x=-2x+3\\\text{Solving the above equation for x we get:} x=15/14\\\text{Then }y=4/5\times15/14=6/7\\\text{The coordinates of the hive are then :}(15/14,6/7) [/tex]
