Question

solve the equation for k.
$9 = \frac{k - 1}{-2}$

Explanation:

Step1: Multiply both sides by -2

To eliminate the denominator, we multiply both sides of the equation \( 9 = \frac{k - 1}{-2} \) by \(-2\). This gives us \( 9\times(-2)=\frac{k - 1}{-2}\times(-2) \), which simplifies to \( - 18=k - 1 \).

Step2: Add 1 to both sides

To solve for \(k\), we add 1 to both sides of the equation \( -18=k - 1 \). So, \( -18 + 1=k-1 + 1 \), which simplifies to \( k=-17 \).

Answer:

\( k = -17 \)