Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the formula for the indicated variable.
T=3U/E , for U
To solve the formula T=3U/E for U, we need to isolate U on one side of the equation.
Step 1: Multiply both sides of the equation by E to get rid of the denominator:
T * E = (3U/E) * E
This simplifies to T * E = 3U.
Step 2: Divide both sides of the equation by 3 to isolate U:
(T * E) / 3 = (3U) / 3
This simplifies to UE/3 = U.
Step 3: Multiply both sides of the equation by 3 to cancel out the denominator:
3 * (UE/3) = 3 * U
This simplifies to UE = 3U.
Step 4: Distribute the U on the right side of the equation:
UE = 3U
Step 5: Subtract 3U from both sides of the equation to isolate U:
UE - 3U = 3U - 3U
This simplifies to UE - 3U = 0.
Step 6: Factor out U on the left side of the equation:
U(E - 3) = 0
Step 7: Set each factor on the left side equal to zero to solve for U:
U = 0 or E - 3 = 0
Step 8: Solve for U:
If U = 0, then U = 0.
If E - 3 = 0, then E = 3.
So, the solutions for U are U = 0 and E = 3.