Make the subject of the formula U=1-3v over ut-w
Make what the subject ?
I assume your equation is U= (1-3v)/(ut-w)
V
To make the subject of the formula U=1-3v over ut-w, we need to isolate the variable that we want to solve for. In this case, let's make "u" the subject of the formula.
Step 1: Clear the fraction
To clear the fraction, we can multiply both sides of the equation by (ut-w).
U × (ut-w) = 1 - 3v
Step 2: Distribute
You can distribute U to both terms in the parentheses.
U × ut - U × w = 1 - 3v
Step 3: Simplify
Multiply U with each term.
Uut - Uw = 1 - 3v
Step 4: Move the terms
Move the terms not containing "u" to the other side of the equation.
Uut = 1 - 3v + Uw
Step 5: Rearrange the equation
Rearrange the equation to isolate "u" on one side.
Uut = Uw + 1 - 3v
Step 6: Divide both sides
Divide both sides of the equation by (ut).
U = (Uw + 1 - 3v) / ut
Therefore, the subject of the formula U=1-3v over ut-w is U = (Uw + 1 - 3v) / ut.
To make the subject of the given formula, which is U = (1 - 3v) / (ut - w), we need to rearrange the formula so that the desired variable is isolated on one side.
Here's the step-by-step process to rearrange the formula and make "U" the subject:
Step 1: Distribute the denominator
Start by multiplying both sides of the equation by the denominator (ut - w) to eliminate the fraction:
U * (ut - w) = 1 - 3v
Step 2: Expand the equation
Apply the distributive property by multiplying "U" with each term inside the parentheses:
U * ut - U * w = 1 - 3v
Step 3: Rearrange the equation
Rearrange the equation so that the variable "U" is on the left-hand side and the constant terms are on the right-hand side:
U * ut - U * w + 3v = 1
Step 4: Factor out "U" from the left-hand side
Factor out "U" from the left-hand side of the equation:
U * (ut - w) + 3v = 1
Step 5: Divide both sides by the remaining expression
Divide both sides of the equation by (ut - w) + 3v to isolate "U":
U = 1 / (ut - w + 3v)
Therefore, the subject of the formula U = (1 - 3v) / (ut - w) is expressed as U = 1 / (ut - w + 3v).