Question

solve for k.
\frac{k - 18}{-1} = -1

k =
submit

Explanation:

Step1: Multiply both sides by -1

To eliminate the denominator \(-1\) on the left - hand side, we multiply both sides of the equation \(\frac{k - 18}{-1}=-1\) by \(-1\). According to the multiplication property of equality, if \(a = b\), then \(a\times c=b\times c\). So we have \(\frac{k - 18}{-1}\times(-1)=-1\times(-1)\).
Simplifying the left - hand side, \(\frac{k - 18}{-1}\times(-1)=k - 18\), and the right - hand side, \(-1\times(-1) = 1\). So the equation becomes \(k-18 = 1\).

Step2: Add 18 to both sides

To solve for \(k\), we need to isolate \(k\). We use the addition property of equality. If \(a=b\), then \(a + c=b + c\). We add 18 to both sides of the equation \(k-18 = 1\).
So \(k-18 + 18=1 + 18\).
Simplifying the left - hand side, \(k-18 + 18=k\), and the right - hand side, \(1+18 = 19\). So we get \(k = 19\).

Answer:

\(19\)