SOLUTION: 3 ducks and 2 ducklings weigh 32 kg. 4 ducks and 3 ducklings weigh 44 kg. all ducks weigh the same as each other and all ducklings weigh the same as each other. What is the weight

Question 937081: 3 ducks and 2 ducklings weigh 32 kg. 4 ducks and 3 ducklings weigh 44 kg. all ducks weigh the same as each other and all ducklings weigh the same as each other. What is the weight of 2 ducks and 1 duckling?
Can you please help me solve this. Thank you.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = kg weight of a duck
y = kg weight of a duckling
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3x + 2y = 32
4x + 3y = 44
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put the system of linear equations into standard form
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3x + 2y = 32
4x + 3y = 44
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solution:
x = kg weight of a duck = 8
y = kg weight of a duckling = 4
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answer:
2x + 1y = ???
2*8 + 1*4 = 20 kg
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