Question

How do I solve f+4/g=6 for f showing my work

Answer 1

You need to isolate f.

`(f + 4)/(g) = 6`

First, you need to multiply by g on both sides to "undo" the dividing by g on the left. You need to make sure you do the same thing to both sides to keep the equation equal.

`((f + 4)/(g))*g = (6) * g \\ f + 4 = 6g`

Then, you need to subtract 4 from both sides to undo the addition of 4 to f on the left:

`(f + 4) - 4 = (6g) - 4 \\ f = 6g - 4`

And there you have it! f = 6g - 4. Hope this helps! :)

Answer 2

We have two solutions for this problem based on the given equation.

Answer #1:

If the given equation was:

`f + (4)/(g) = 6`

To solve for f, we would need to isolate the "f" on one side of the equation.

In case of the above equation, we can simply do that by subtracting
`(4)/(g)` from both sides of the equation

This would give:

f +
`(4)/(g)` -
`(4)/(g)` = 6 -
`(4)/(g)`

f = 6 -
`(4)/(g)`

Answer #2:

If the given equation was:

`(f+4)/(g) = 6`

To solve for f, we would still need to isolate the "f" on one side of the equation.

This can be done as follows:

`(f+4)/(g) = 6` ................> multiply both sides by (g)

f + 4 = 6g ................> subtract 4 from both sides of the equation

f + 4 - 4 = 6g - 4

f = 6g - 4

Hope this helps :)