Question

if m= cab/a-b then find the value of b

Answer 1

m=cab/a-b
am-bm=cab
-bm=cab-am
b=-cab-am/m

Answer 2

Answer:

$b=\frac{ma}{ca+m}$

Step-by-step explanation:

As the question states,

We have been given a term,

m = cab/(a-b)

So,

We can say that,

$m=\frac{cab}{a-b}$

Therefore, for the purpose of simplification.

On cross multiplying the values of the fraction and simplifying the resultant term we get,

$m=\frac{cab}{a-b}\\m(a-b)=cab\\ma-mb=cab\\cab+mb=ma$

Now, on taking out the common term from the Left Hand Side(LHS), we get,

$cab+mb=ma\\b(ca+m)=ma\\b=\frac{ma}{ca+m}$

Therefore, the value of 'b' is given by,

$b=\frac{ma}{ca+m}$