Question

1. 1/9x -1 = 2

Explanation:

Step1: Add 1 to both sides

To isolate the term with \( x \), we add 1 to both sides of the equation \(\frac{1}{9}x - 1 = 2\). This gives us \(\frac{1}{9}x - 1 + 1 = 2 + 1\), which simplifies to \(\frac{1}{9}x = 3\).

Step2: Multiply both sides by 9

To solve for \( x \), we multiply both sides of the equation \(\frac{1}{9}x = 3\) by 9. This is because the coefficient of \( x \) is \(\frac{1}{9}\), and multiplying by its reciprocal (9) will isolate \( x \). So, \( 9\times\frac{1}{9}x = 3\times9 \), which simplifies to \( x = 27 \).

Answer:

\( x = 27 \)