Question

solve for all values of a in simplest form. |7a| = 7

Explanation:

Step1: Recall absolute - value property

If \(|x| = k\) (\(k\geq0\)), then \(x = k\) or \(x=-k\). Here \(x = 7a\) and \(k = 7\), so \(7a=7\) or \(7a=-7\).

Step2: Solve \(7a = 7\)

Divide both sides by 7: \(a=\frac{7}{7}=1\).

Step3: Solve \(7a=-7\)

Divide both sides by 7: \(a=\frac{-7}{7}=-1\).

Answer:

\(a = 1\) or \(a=-1\)