Evaluate the expression for c = 7. Write your answer in simplest form. c - 9/-c + 2 = ____

Identify Expression: Identify the expression after substituting c = 7 Substitute 7 for c in c - 9/-c + 2. (7 - 9)/(-7 + 2)Substitute and Simplify: Evaluate 7 - 9 7 - 9 = -2 Numerator: -2Evaluate Numerator: Evaluate -7 + 2 -7 + 2 = -5 Denominator: -5Evaluate Denominator: -2/(-5) Rewrite the fraction in simplest form. Since both the numerator and the denominator are negative, the negatives cancel each other out. -2/(-5) = 2/5

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Evaluate the expression for $c = 7$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{c - 9}{-c + 2} =$ __

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

c = 7

\newline

Write your answer in simplest form.

\newline

\frac{c - 9}{-c + 2} =

Identify Expression: Identify the expression after substituting $c = 7$ $\newline$ Substitute $7$ for $c$ in $\frac{c - 9}{-c + 2}$ . $\newline$ $\frac{7 - 9}{-7 + 2}$
Substitute and Simplify: Evaluate $7 - 9$ $\newline$ $7 - 9 = -2$ $\newline$ Numerator: $-2$
Evaluate Numerator: Evaluate $-7 + 2$ $-7 + 2 = -5$ Denominator: $-5$
Evaluate Denominator: $-\frac{2}{-5}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Since both the numerator and the denominator are negative, the negatives cancel each other out. $\newline$ $-\frac{2}{-5} = \frac{2}{5}$