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 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?

Answer 1

The coordinate of the hive is the point of interaction of the two lines.
We have the two equations:

`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*15/14=6/7\\\text{The coordinates of the hive are then :}(15/14,6/7)`