Question

1. solve the equation:

\\(\frac{2}{5}a - 9 = -17\\)

Explanation:

Step1: Add 9 to both sides

To isolate the term with \(a\), we add 9 to both sides of the equation \(\frac{2}{5}a - 9 = -17\). This gives \(\frac{2}{5}a - 9 + 9 = -17 + 9\), which simplifies to \(\frac{2}{5}a = -8\).

Step2: Multiply by reciprocal

To solve for \(a\), we multiply both sides by the reciprocal of \(\frac{2}{5}\), which is \(\frac{5}{2}\). So \(a = -8\times\frac{5}{2}\).

Step3: Calculate the result

Simplifying \(-8\times\frac{5}{2}\), we get \(a = -20\).

Answer:

\(a = -20\)