Question

what value of u is a solution to this equation?
\\(\frac{u}{2} - 14 = -16\\)
\\(u = -4\\) \\(u = 0\\)

Explanation:

Step1: Add 14 to both sides

To isolate the term with \( u \), we add 14 to both sides of the equation \(\frac{u}{2}-14 = -16\). This gives us \(\frac{u}{2}-14 + 14=-16 + 14\), which simplifies to \(\frac{u}{2}=-2\).

Step2: Multiply both sides by 2

To solve for \( u \), we multiply both sides of the equation \(\frac{u}{2}=-2\) by 2. So, \(2\times\frac{u}{2}=2\times(-2)\), which simplifies to \(u = - 4\).

We can also check by substituting the values:

• For \(u=-4\): \(\frac{-4}{2}-14=-2 - 14=-16\), which matches the right - hand side of the original equation.
• For \(u = 0\): \(\frac{0}{2}-14=0 - 14=-14

eq-16\).

Answer:

\(u=-4\) (the option: \(u = - 4\))