Solve for u in the equation -12 = -3u. Simplify your answer as much as possible.
Understand the Problem
The question is asking us to solve the equation -12 = -3u for the variable u and simplify the answer as much as possible.
Answer
The solution for $u$ is $4$.
Answer for screen readers
The value of $u$ is $4$.
Steps to Solve
- Isolate the variable term
To solve for $u$, we want to isolate it on one side of the equation. We start with the equation: $$ -12 = -3u $$ We can divide both sides of the equation by $-3$ to isolate $u$.
- Divide both sides by -3
Dividing both sides by $-3$ gives us: $$ u = \frac{-12}{-3} $$
- Simplify the fraction
Now simplifying the right side: $$ u = \frac{-12}{-3} = 4 $$
The value of $u$ is $4$.
More Information
The equation represents a simple linear relationship where isolating the variable allows us to find its value. In this case, dividing two negative numbers results in a positive number.
Tips
- A common mistake is forgetting that dividing two negative numbers yields a positive result. Always check your signs when performing operations.
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