Question

if a+c= mb and 1/a + 1/b = m/c establish relationship between a,b,c,d​

Answer 1

Answer:

It is given that,

a+c=mb and 1/a+1/b=m\c

A+c=mb

Dividing the equation by a

A/b+c/b=m

And,1/a+1/b=m\c

Multiplying the equation by c

C/a+c/b=m

Using equation (1)&(2)

A/b+c/b=c/a+c/b

So we get

A/b=c/d

Therefore ,it is proved that a,b,c,and d are in proportion .

Step-by-step explanation:

A/b=c/d

Answer 2

Given : a+c= mb

1/a + 1/b = m/c

To Find :  establish relationship between a,b,c,  ( d is no where used in equations )

Solution:

 a+c= mb

1/a + 1/b = m/c

To establish relationship between a,b,c,d​  , m need to be eliminated

a+c= mb  

Divide both sides by b

a/b  + c/b =m

1/a + 1/b = m/c  

Multiply both sides by c

 c/a  + c/b  = m

Equate m

a/b + c/b  = c/a  + c/b

=> a/b  = c/a

=> a² = bc

Note : There is no variable d is used in any equation so there could be typing mistake in Question also

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