Home > Algebra calculators > If x/(y+z)=y/(z+x)=z/(x+y) then prove the value of each ratio is 1/2 or -1 calculator

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 Problem: In ratio and proportion, if (5a+6b)/(7c)=(6b+7c)/(5a)=(7c+5a)/(6b) then prove that each ratio = 2,-1 [ Calculator, Method and examples ]Solution:Your problem -> In ratio and proportion, if (5a+6b)/(7c)=(6b+7c)/(5a)=(7c+5a)/(6b) then prove that each ratio = 2,-1Here (5a+6b)/(7c)=(6b+7c)/(5a)=(7c+5a)/(6b)Case-1 : If 1!=0, then Each ratio=(5a+6b+6b+7c+7c+5a)/(7c+5a+6b)=(10a+12b+14c)/(7c+5a+6b)=(2*(5a+6b+7c))/(7c+5a+6b)=(10a+12b+14c)/(7c+5a+6b)Case-2 : If 1=0, then 5a+6b=5a+6b-1Then, the first ratio =(5a+6b)/(7c)=(5a+6b-1)/(7c)Hence, each ratio =(5a+6b-1)/(7c).Thus, the value of each ratio is (10a+12b+14c)/(7c+5a+6b) or (5a+6b-1)/(7c).

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