SOLUTION: RaTa= 160, RbTb= 240, Rb=2Ra, Ta+Tb=7 Solve? I'm not sure how to do this... help? Thanks!!

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Question 146507: RaTa= 160, RbTb= 240, Rb=2Ra, Ta+Tb=7
Solve? I'm not sure how to do this... help? Thanks!!

Found 2 solutions by jim_thompson5910, scott8148:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the first equation


Solve for


Move onto the last equation


Solve for



Now move onto the second equation


Plug in


Plug in


Multiply and simplify


Plug in


Distribute


Multiply every term by the LCD


Add to both sides


Combine like terms


Divide both sides by 560 to isolate . So the first answer is



Go back to the last equation


Plug in


Solve for


From here it's not too difficult to find and . So I'll let you finish.

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
substituting __ (2Ra)Tb=240 __ dividing by 2 __ RaTb=120

adding __ RaTa+RaTb=160+120 __ factoring __ Ra(Ta+Tb)=280

substituting __ Ra(7)=280 __ dividing by 7 __ Ra=40

substituting __ (40)Ta=160 __ dividing by 40 __ Ta=4

substituting __ (4)+Tb=7 __ subtracting 4 __ Tb=3

substituting __ Rb=2(40) __ Rb=80

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