To determine whether the pair of expressions \( \frac{9x+5}{5} \) and \( 9x \) are equivalent, we need to simplify and compare them.
**Expression 1: \( \frac{9x + 5}{5} \)**
To simplify, we can distribute the denominator 5 to each term in the numerator:
\[ \frac{9x + 5}{5} = \frac{9x}{5} + \frac{5}{5} \]
This simplifies to:
\[ \frac{9x}{5} + 1 \]
**Expression 2: \( 9x \)**
This expression is already simplified.
Now, let's compare the two simplified expressions:
\[ \frac{9x}{5} + 1 \quad \text{and} \quad 9x \]
Clearly, \( \frac{9x}{5} + 1 \) is not equal to \( 9x \).
Therefore, the pair of expressions \( \frac{9x + 5}{5} \) and \( 9x \) are not equivalent.
tell whether this pair of expressions is equivalent.
9x+5/5 and 9x
1 answer