SOLUTION: A and B are complementary Find A = 3x-7 and B = 11x-1

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Question 210146: A and B are complementary Find A = 3x-7 and B = 11x-1
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
If "A and B are complementary", then A%2BB=90.


A%2BB=90 Start with the given equation.


3x-7%2B11x-1=90 Plug in A+=+3x-7 and B+=+11x-1


14x-8=90 Combine like terms on the left side.


14x=90%2B8 Add 8 to both sides.


14x=98 Combine like terms on the right side.


x=%2898%29%2F%2814%29 Divide both sides by 14 to isolate x.


x=7 Reduce.


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Answer:

So the solution is x=7


So A=3%287%29-7=21-7=14 degrees and B=11%287%29-1=77-1=76 degrees