9) Simplify the expression: (x - 7) / 9 and compare it with (4 - x) / 7.

Solution:

• The problem presents two fractions: \(\frac{x-7}{9}\) and \(\frac{4-x}{7}\).
• If the intention is to find when these two fractions are equal, we set up the equation:
• \(\frac{x-7}{9} = \frac{4-x}{7}\)
• Cross-multiplying gives:
• \(7(x-7) = 9(4-x)\)
• \(7x - 49 = 36 - 9x\)
• \(7x + 9x = 36 + 49\)
• \(16x = 85\)
• \(x = \frac{85}{16}\)

Answer: The expression \(\frac{x-7}{9}\) is equal to \(\frac{4-x}{7}\) when \(x = \frac{85}{16}\).