Evaluate the expression for c = 9. Write your answer in simplest form. c - 10/c - 2 = ____

Identify Expression: Identify the expression after substituting c = 9 Substitute 9 for c in (c - 10)/(c - 2). (9 - 10)/(9 - 2)Substitute and Simplify: Evaluate 9 - 10 9 - 10 = -1 Numerator: -1Evaluate Numerator: Evaluate 9 - 2 9 - 2 = 7 Denominator: 7Evaluate: -1/7 The fraction is already in its simplest form, as -1 and 7 have no common factors other than 1. Final expression: -1/7

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Evaluate the expression for $c = 9$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{c - 10}{c - 2} = \underline{\hspace{2em}}$

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

c = 9

\newline

Write your answer in simplest form.

\newline

\frac{c - 10}{c - 2} = \underline{\hspace{2em}}

Identify Expression: Identify the expression after substituting $c = 9$ $\newline$ Substitute $9$ for $c$ in $\frac{c - 10}{c - 2}$ . $\newline$ $\frac{9 - 10}{9 - 2}$
Substitute and Simplify: Evaluate $9 - 10$ $\newline$ $9 - 10 = -1$ $\newline$ Numerator: $-1$
Evaluate Numerator: Evaluate $9 - 2$ $\newline$ $9 - 2 = 7$ $\newline$ Denominator: $7$
Evaluate: $-\frac{1}{7}$ $\newline$ The fraction is already in its simplest form, as $-1$ and $7$ have no common factors other than $1$ . $\newline$ Final expression: $-\frac{1}{7}$