Question

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

Answer 1

7a-2b = 5a + b
2a=3b
a = 3b/2

Answer 2

Answer: The required value of a is
`(3)/(2)b.`

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

`7a-2b=5a+b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the above equation for a, we need to take terms involving a on one side of equality that that involving b on the other side.

So, from equation (i), we get

`7a-2b=5a+b\\\\\Rightarrow 7a-5a=b+2b\\\\\Rightarrow 2a=3b\\\\\Rightarrow a=(3)/(2)b.`

Thus, the required value of a is
`(3)/(2)b.`