to solve the equation \(x - \frac{7}{9} = \frac{2}{9}\), you can isolate \(x\) by adding \(\frac{7}{9}\) to both sides:
\(x - \frac{7}{9} + \frac{7}{9} = \frac{2}{9} + \frac{7}{9}\)
this simplifies to:
\(x = \frac{2}{9} + \frac{7}{9}\)
now, add the fractions on the right side:
\(x = \frac{9}{9}\)
\(x = 1\)
so, the solution to the equation is \(x = 1\).
to check, substitute \(x = 1\) back into the original equation:
\(1 - \frac{7}{9} = \frac{2}{9}\)
Now, simplify the left side:
\(\frac{9}{9} - \frac{7}{9} = \frac{2}{9}\)
\(\frac{2}{9} = \frac{2}{9}\)
the equation is satisfied, confirming that \(x = 1\) is the correct solution.