Question

find the numerical value, if x = 3 and y = 3.\frac{2x + 5y - 2}{5y + 2}\frac{2x + 5y - 2}{5y + 2} = \square(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Substitute x and y values

Substitute \( x = 3 \) and \( y = 3 \) into the numerator \( 2x + 5y - 2 \) and denominator \( 5y + 2 \).
Numerator: \( 2(3) + 5(3) - 2 = 6 + 15 - 2 = 19 \)
Denominator: \( 5(3) + 2 = 15 + 2 = 17 \)

Step2: Form the fraction

The fraction becomes \( \frac{19}{17} \) (since numerator is 19 and denominator is 17, and they have no common factors other than 1).

Answer:

\(\frac{19}{17}\)