Evaluate the expression for y = 6. Write your answer in simplest form. y - 5/y - 10 = ____

Identify Expression: Step 1: Identify the expression after substituting y = 6 Substitute 6 for y in (y - 5)/(y - 10). (6 - 5)/(6 - 10)Evaluate Numerator: Step 2: Evaluate 6 - 5 6 - 5 = 1 Numerator: 1Evaluate Denominator: Step 3: Evaluate 6 - 10 6 - 10 = -4 Denominator: -4Simplify Fraction: Step 4: 1/(-4) Rewrite the fraction in simplest form. The fraction 1/(-4) is already in its simplest form because the numerator and denominator have no common factors other than 1. Final expression: -1/4

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Evaluate the expression for $y = 6$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{y - 5}{y - 10} =$ ____

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

y = 6

\newline

Write your answer in simplest form.

\newline

\frac{y - 5}{y - 10} =

____

Identify Expression: Step $1$ : Identify the expression after substituting $y = 6$ Substitute $6$ for $y$ in $\frac{y - 5}{y - 10}$ . $\frac{6 - 5}{6 - 10}$
Evaluate Numerator: Step $2$ : Evaluate $6 - 5$ $6 - 5 = 1$ Numerator: $1$
Evaluate Denominator: Step $3$ : Evaluate $6 - 10$ $\newline$ $6 - 10 = -4$ $\newline$ Denominator: $-4$
Simplify Fraction: Step $4$ : $\frac{1}{(-4)}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ The fraction $\frac{1}{(-4)}$ is already in its simplest form because the numerator and denominator have no common factors other than $1$ . $\newline$ Final expression: $-\frac{1}{4}$