Literal Equation

[Guest]

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]

Is this the equation?

[tex]f = \frac{gm - t}{m}[/tex]

[Guest]

Yes, that's it.

[Guest]

Let's solve it for g

1. Multiply the both sides by m
[tex]f \times m = \frac{gm-t}{m}\times m[/tex]

[tex]fm = gm-t[/tex]

2. Add t to the both sides.

[tex]fm + t= gm-t + t[/tex]

[tex]fm + t = gm[/tex]

3. Divide the both sides by m
[tex]\frac{fm + t}{m} = \frac{gm}{m}[/tex]

[tex]\frac{fm}{m} + \frac{t}{m} = \frac{gm}{m}[/tex]

[tex]f + \frac{t}{m} = g[/tex]

Or
[tex]g = f + \frac{t}{m}[/tex]

[Guest]

Ok, thanks.

[Guest]

fm = gm - t

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

Unsure about the extra m.

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]

How do I finish solving for m ?