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
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-> 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
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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
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take the y value in eq 1 and plug it into eq 2
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(4/5)x=-2x+3
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4x=-10x+15.......muliplied all terms by 5 to eliminate the fraction
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14x=15....added 10x to both sides
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now take x's found value and plug it back into either equation. I choose eq 1
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y=4/5(15/14)=60/70=
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so the hive is at (15/14,6/7)
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