Solve for u: u/9 = -30. Simplify your answer as much as possible.
Understand the Problem
The question is asking to solve a given equation for the variable 'u'. The equation is structured as u/9 = -30, and we need to isolate 'u' and simplify the expression.
Answer
The solution is \( u = -270 \).
Answer for screen readers
The solution to the equation is ( u = -270 ).
Steps to Solve
- Multiply Both Sides by 9
To isolate $u$, multiply both sides of the equation by 9:
$$ 9 \cdot \frac{u}{9} = 9 \cdot (-30) $$
- Simplify the Left Side
On the left side, the 9s cancel out:
$$ u = 9 \cdot (-30) $$
- Calculate the Right Side
Now perform the multiplication on the right side:
$$ u = -270 $$
The solution to the equation is ( u = -270 ).
More Information
This result shows that when you divide -270 by 9, you get -30, confirming that the solution is correct.
Tips
- Neglecting to multiply both sides by the same number: It's essential to perform the same operation on both sides of the equation to maintain equality.
- Sign errors: Be careful with negative signs when multiplying or simplifying.
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