Question

Solve for a. 7a-2b = 5a b

Answer 1

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 2

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 $\dfrac{2b}{7-5b}.$