Question

solve $4x - 9 = k$ for $x$. \
\
\bigcirc a. $x = k + 9$ \
\
\bigcirc b. $x = 4k + 9$ \
\
\bigcirc c. $x = \frac{k + 9}{4}$ \
\
\bigcirc d. $x = \frac{k - 9}{4}$

Explanation:

Step1: Add 9 to both sides

To isolate the term with \( x \), we add 9 to both sides of the equation \( 4x - 9 = k \). This gives us \( 4x - 9 + 9 = k + 9 \), which simplifies to \( 4x = k + 9 \).

Step2: Divide by 4

Next, we divide both sides of the equation \( 4x = k + 9 \) by 4 to solve for \( x \). So, \( \frac{4x}{4} = \frac{k + 9}{4} \), which simplifies to \( x = \frac{k + 9}{4} \).

Answer:

C. \( x = \frac{k + 9}{4} \)