Question

solve $2x - 11 = k$ for $x$.
a. $x = \frac{k}{2} + 11$
b. $x = 2k + 22$
c. $x = k + 9$
d. $x = \frac{k + 11}{2}$

Explanation:

Step1: Isolate the term with x

We start with the equation \(2x - 11 = k\). To isolate the term with \(x\), we add 11 to both sides of the equation. This gives us \(2x - 11 + 11 = k + 11\), which simplifies to \(2x = k + 11\).

Step2: Solve for x

Now, to solve for \(x\), we divide both sides of the equation \(2x = k + 11\) by 2. So, \(\frac{2x}{2}=\frac{k + 11}{2}\), which simplifies to \(x=\frac{k + 11}{2}\).

Answer:

D. \(x = \frac{k + 11}{2}\)