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How many solutions does this equation have?

9f + 4 = 4 + 9f

1 answer

To solve the equation \(9f + 4 = 4 + 9f\), we can start by simplifying both sides.

  1. First, we notice that the terms \(9f\) on both sides of the equation are identical, so we can subtract \(9f\) from both sides:

\[ 9f + 4 - 9f = 4 + 9f - 9f \]

This simplifies to:

\[ 4 = 4 \]

  1. The equation \(4 = 4\) is always true, which means that it holds for any value of \(f\).

Therefore, the original equation has infinitely many solutions.