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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Find In ratio and proportion, if (5a+6b)/(7c)=(6b+7c)/(5a)=(7c+5a)/(6b) then prove that each ratio = 2,-1

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Your problem `->` In ratio and proportion, if (5a+6b)/(7c)=(6b+7c)/(5a)=(7c+5a)/(6b) then prove that each ratio = 2,-1


Here `(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-1`

Then, 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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