Questions: Solve for (u). [ -14=-frac72 u ] Simplify your answer as much as possible. [ u= ]

$Solve for (u). [ -14=-frac72 u ] Simplify your answer as much as possible. [ u= ]$

Transcript text: Solve for $u$. \[ -14=-\frac{7}{2} u \] Simplify your answer as much as possible. \[ u= \]

Solution

Solution Steps

To solve for $ u $ in the equation $-14 = -\frac{7}{2} u$, we need to isolate $ u $. This can be done by multiplying both sides of the equation by the reciprocal of $-\frac{7}{2}$, which is $-\frac{2}{7}$. This will cancel out the coefficient of $ u $ on the right side, leaving $ u $ by itself.

Step 1: Set Up the Equation

We start with the equation: \[ -14 = -\frac{7}{2} u \]

Step 2: Isolate $ u $

To isolate $ u $, we multiply both sides by the reciprocal of $-\frac{7}{2}$: \[ u = -14 \cdot \left(-\frac{2}{7}\right) \]

Step 3: Simplify the Expression

Calculating the right side gives: \[ u = 4.0 \]