SOLUTION: two wind turbines generate a total of 57kw of power. the larger turbine generates twice as much power as the smaller one. find the power output of each turbine.

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Question 1085224: two wind turbines generate a total of 57kw of power. the larger turbine generates twice as much power as the smaller one. find the power output of each turbine.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the power of the smaller turbine
+2x+ = the power of the larger turbine
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+x+%2B+2x+=+57+ kw
+3x+=+57+
+x+=+19+
and
+2x+=+38+
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The smaller one generates 19 kw
The larger one gnerates 38 kw
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check:
+x+%2B+2x+=+57+
+19+%2B+38+=+57+
+57+=+57+
OK