Evaluate the expression for x = -3. Write your answer in simplest form. x - 3/x - 6 = ____

Identify Expression: Identify the expression after substituting x = -3 Substitute -3 for x in (x - 3)/(x - 6). ((-3) - 3)/((-3) - 6)Substitute and Simplify: Evaluate (-3) - 3 (-3) - 3 = -6 Numerator: -6Evaluate Numerator: Evaluate -3 - 6 -3 - 6 = -9 Denominator: -9Evaluate Denominator: -6/(-9) Rewrite the fraction in simplest form. Divide both -6 and -9 by their greatest common divisor, which is 3. (-6)/(-9) = 2/3 Cancel out the negative signs. = 2/3

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Evaluate the expression for $x = -3$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{x - 3}{x - 6} = \underline{\hspace{2em}}$

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

x = -3

\newline

Write your answer in simplest form.

\newline

\frac{x - 3}{x - 6} = \underline{\hspace{2em}}

Identify Expression: Identify the expression after substituting $x = -3$ $\newline$ Substitute $-3$ for $x$ in $\frac{x - 3}{x - 6}$ . $\newline$ $\frac{(-3) - 3}{(-3) - 6}$
Substitute and Simplify: Evaluate $(-3) - 3$ $(-3) - 3 = -6$ Numerator: $-6$
Evaluate Numerator: Evaluate $-3 - 6$ $-3 - 6 = -9$ Denominator: $-9$
Evaluate Denominator: $-\frac{6}{-9}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Divide both $-6$ and $-9$ by their greatest common divisor, which is $3$ . $\newline$ $\frac{-6}{-9} = \frac{2}{3}$ $\newline$ Cancel out the negative signs. $\newline$ $= \frac{2}{3}$