# SOLUTION: Two bees have each found a food source. The first bee's path back to the hive follows the line y=4/5x. The second bee's path follows the line y=-2x+3. Their paths cross at the hive

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Two bees have each found a food source. The first bee's path back to the hive follows the line y=4/5x. The second bee's path follows the line y=-2x+3. Their paths cross at the hive      Log On

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 Question 180582: Two bees have each found a food source. The first bee's path back to the hive follows the line y=4/5x. The second bee's path follows the line y=-2x+3. Their paths cross at the hive. Find the coordinate of the hive. Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!y=4/5x..........eq 1 y=-2x+3.........eq 2 : take the y value in eq 1 and plug it into eq 2 : (4/5)x=-2x+3 : 4x=-10x+15.......muliplied all terms by 5 to eliminate the fraction : 14x=15....added 10x to both sides : : now take x's found value and plug it back into either equation. I choose eq 1 : y=4/5(15/14)=60/70= : so the hive is at (15/14,6/7)