Question

1. add the rational expressions and simplify the result,

\\(
\frac{7z}{y+z} + \frac{7y}{y+z}
\\)

\\(
\frac{7z}{y+z} + \frac{7y}{y+z} = \square\\) (simplify your answer.)

Explanation:

Step1: Identify common denominator

Both fractions have the same denominator \( y + z \), so we can add the numerators directly.
Expression: \( \frac{7z + 7y}{y + z} \)

Step2: Factor numerator

Factor out 7 from the numerator: \( \frac{7(y + z)}{y + z} \)

Step3: Simplify fraction

Cancel out the common factor \( y + z \) (assuming \( y + z
eq 0 \)): \( 7 \)

Answer:

\( 7 \)