Question

Solve 3h+g=5h-hg for h

Answer 1

Answer:
`h=(-g)/(g-2)`

Explanation:

Let's solve for h.

`3h+g=5h-hg`

Step 1: Add
`gh` to both sides.

`g+3h+gh=-gh+5h+gh`

`gh+g+3h=5h`

Step 2: Add
`-5h` to both sides.

`gh+g+3h+-5h=5h+-5h`

`gh+g-2h=0`

Step 3: Add
`-g` to both sides.

`gh+g-2h+-g=0+-g`

`gh-2h=-g`

Step 4: Factor out the variable
`h`.

`h(g-2)=-g`

Step 5: Divide both sides by
`g-2`.

`(h(g-2))/(g-2) =(-g)/(g-2)`

`h=(-g)/(g-2)`

Answer:

`h=(-g)/(g-2)`