SOLUTION: Solve the formula for v: g = f � v

Question 306237: Solve the formula for v: g = f � v
Answer by PRMath(133) (Show Source): You can put this solution on YOUR website!
Solve the formula for v: g = f � v

This is very similar to your other problem, so let's solve it by asking the question of: How can we isolate the "v"?

Well, what is going on with the "v"? You can see that an "f" is added to the "v" so how about we do the OPPOSITE of adding an "f"? Let's SUBTRACT "f" from the equation and of course, we have to do this on both sides of the equation.

Therefore, we have:

g = f - v (Original equation)
g - f = f - f - v (Subtract "f" from both sides of the equation).
g - f = -v

You are still not done. Why? Well, the "v" is still not isolated! There is a negative sign in front of the "v", which means that there is a -1 next to the "v". You see, in front of any variable, there is always a "1" next to the variable and in this case, that 1 happens to be a NEGATIVE 1.

How do we isolate the "v"? How can we get rid of that negative 1? How about if we DIVIDE by -1? AND of course, we have to do this on both sides of the equation:

g - f = -1v

= See how the -1 cancels out?

So now you have: v = which is also:

v = -g + f
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