Evaluate the expression for c = 3. Write your answer in simplest form. c - 5/-c - 3 = ____

Identify Expression: Identify the expression after substituting c = 3 Substitute 3 for c in c - 5/-c - 3. (3 - 5)/(-3 - 3)Substitute and Simplify: Evaluate 3 - 5 3 - 5 = -2 Numerator: -2Evaluate Numerator: Evaluate -3 - 3 -3 - 3 = -6 Denominator: -6Evaluate Denominator: -2/(-6) Rewrite the fraction in simplest form. Divide both -2 and -6 by 2 to simplify. (-2)/(-6) = 1/3 Cancel out the negative signs. = 1/3

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Evaluate the expression for $c = 3$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{c - 5}{-c - 3} =$ __

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

c = 3

\newline

Write your answer in simplest form.

\newline

\frac{c - 5}{-c - 3} =

Identify Expression: Identify the expression after substituting $c = 3$ $\newline$ Substitute $3$ for $c$ in $\frac{c - 5}{-c - 3}$ . $\newline$ $\frac{3 - 5}{-3 - 3}$
Substitute and Simplify: Evaluate $3 - 5$ $\newline$ $3 - 5 = -2$ $\newline$ Numerator: $-2$
Evaluate Numerator: Evaluate $-3 - 3$ $-3 - 3 = -6$ Denominator: $-6$
Evaluate Denominator: $-\frac{2}{-6}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Divide both $-2$ and $-6$ by $2$ to simplify. $\newline$ $\frac{-2}{-6} = \frac{1}{3}$ $\newline$ Cancel out the negative signs. $\newline$ $= \frac{1}{3}$