Question
your solution as an integer, a simplified fraction, or a decimal rounded to two decimal \( -2 u-27=7 u \)
Ask by Bryant Dickson. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solution is \( u = -3 \).
Solution
We start with the equation:
\[
-2u - 27 = 7u
\]
**Step 1: Add \(2u\) to both sides to combine like terms.**
\[
-27 = 7u + 2u
\]
\[
-27 = 9u
\]
**Step 2: Divide both sides by \(9\) to solve for \(u\).**
\[
u = \frac{-27}{9}
\]
\[
u = -3
\]
The solution is \(-3\).
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Simplify this solution Extra Insights
To solve the equation \( -2u - 27 = 7u \), we can start by moving all the terms involving \( u \) to one side and the constant terms to the other side. Adding \( 2u \) to both sides gives us: \[ -27 = 9u \] Next, we divide both sides by 9: \[ u = -3 \] So the solution as an integer is \( u = -3 \). As a simplified fraction, it remains \( -3 \) (or \( \frac{-3}{1} \)). As a decimal rounded to two decimal places, it is also \( -3.00 \). Thus, the solution can be represented in all three forms: \( -3 \), \( -\frac{3}{1} \), and \( -3.00 \).
