Question

Given g=(1+2a)/a, solve for the variable a.

Answer 1

We are given the equality

`g=(1+2a)/(a)`

and told to solve for a. That is, we should apply mathematical operations on both sides of the equality so we "isolate" variable a on one side of the equality. We start by multiplying both sides by a, so we get

`a\cdot g=1+2a`

Now, we subtract 2a from both sides. We get

`a\cdot g-2a=1`

We can factor on the left side a as a common factor, so we get

`a\cdot(g-2)=1`

Finally, we divide by (g-2) on both sides, so we get

`a=(1)/(g-2)`