Respuesta :
For this case we have the following expression:
[tex] 7a-2b = 5ab
[/tex]
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:
[tex] 7a - 5ab = 2b
[/tex]
Do common factor "a":
[tex] a (7 - 5b) = 2b
[/tex]
Clear the value of "a" by dividing the factor within the parenthesis:
[tex] a =\frac{2b}{7-5b}
[/tex]
Answer:
The clear expression for "a" is given by:
[tex] a =\frac{2b}{7-5b}
[/tex]
Answer: The required value of a is [tex]\dfrac{2b}{7-5b}.[/tex]
Step-by-step explanation: We are given to solve the following equation for the value of a:
[tex]7a-2b=5ab~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
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:
[tex]7a-2b=5ab\\\\\Rightarrow 7a-5ab=2b\\\\\Rightarrow a(7-5b)=2b\\\\\Rightarrow a=\dfrac{2b}{7-5b}.[/tex]
Thus, the required value of a is [tex]\dfrac{2b}{7-5b}.[/tex]