Question

1. $-1 + \frac{5}{4}x = -16$

Explanation:

Step1: Add 1 to both sides

To isolate the term with \(x\), we add 1 to both sides of the equation \(-1 + \frac{5}{4}x = -16\). This gives us \(-1 + 1 + \frac{5}{4}x = -16 + 1\). Simplifying the left side, \(-1 + 1 = 0\), so we have \(\frac{5}{4}x = -15\).

Step2: Solve for \(x\)

To solve for \(x\), we multiply both sides of the equation \(\frac{5}{4}x = -15\) by the reciprocal of \(\frac{5}{4}\), which is \(\frac{4}{5}\). So, \(x = -15\times\frac{4}{5}\). Calculating the right side, \(-15\times\frac{4}{5} = -12\).

Answer:

\(x = -12\)