# Literal Equation

Algebra

### Literal Equation

In the equation f = gm - t / m , solve for g, m, and t. The right side of the = sign is all divided by m.

Not sure how to proceed.

Guest

### Re: Literal Equation

Is this the equation?

$f = \frac{gm - t}{m}$

Guest

Yes, that's it.

Guest

### Re: Literal Equation

Let's solve it for g

1. Multiply the both sides by m
$f \times m = \frac{gm-t}{m}\times m$

$fm = gm-t$

2. Add t to the both sides.

$fm + t= gm-t + t$

$fm + t = gm$

3. Divide the both sides by m
$\frac{fm + t}{m} = \frac{gm}{m}$

$\frac{fm}{m} + \frac{t}{m} = \frac{gm}{m}$

$f + \frac{t}{m} = g$

Or
$g = f + \frac{t}{m}$

Guest

Ok, thanks.

Guest

### Re: Literal Equation

fm = gm - t

m = gm - t
--------
f

fm = gm - t

t = gm - fm (moving t to left side and fm to right side of = sign).

Where am I incorrect ?

Guest

Yes, it is true.

Guest

### Re: Literal Equation

How do I finish solving for m ?

Guest