Question

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

Answer 1

Answer: The required value of a is
`(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=(2b)/(7-5b).`

Thus, the required value of a is
`(2b)/(7-5b).`

Answer 2

For this case we have the following expression:

`image`

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:

`image`

Do common factor "a":

`image`

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

`image`

Answer:

The clear expression for "a" is given by:

`image`