Verified Answer :

carlosego

For this case we have the following expression:


\(7a-2b = 5ab
\)

From here, we must clear the value of a.

We then have the following steps:

Place the terms that depend on a on the same side of the equation:

\(7a - 5ab = 2b
\)

Do common factor "a":

\(a (7 - 5b) = 2b
\)

Clear the value of "a" by dividing the factor within the parenthesis:


\(a =\frac{2b}{7-5b}
\)

Answer:

The clear expression for "a" is given by:

\(a =\frac{2b}{7-5b}
\)

Answer:  The required value of a is \(\dfrac{2b}{7-5b}.\)

Step-by-step explanation:  We are given to solve the following equation for the value of a:

\(7a-2b=5ab~~~~~~~~~~~~~~~~~~~~~(i)\)

Since there are two unknowns and only one equation , so the value of a will definitely contain the value of b.

The solution of equation (i) for a is as follows:

\(7a-2b=5ab\\\\\Rightarrow 7a-5ab=2b\\\\\Rightarrow a(7-5b)=2b\\\\\Rightarrow a=\dfrac{2b}{7-5b}.\)

Thus, the required value of a is \(\dfrac{2b}{7-5b}.\)

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