Evaluate the expression for b = 7. Write your answer in simplest form. b - 5/b - 9 =

Identify Expression: Identify the expression after substituting b = 7 Substitute 7 for b in b - 5/b - 9. (7 - 5)/(7 - 9)Substitute and Simplify: Evaluate 7 - 5 7 - 5 = 2 Numerator: 2Evaluate Numerator: Evaluate 7 - 9 7 - 9 = -2 Denominator: -2Evaluate Denominator: 2/(-2) Rewrite the fraction in simplest form. Divide both 2 and -2 by 2 to simplify. 2/(-2) = 1/(-1) Simplify the fraction by recognizing that a positive number divided by a negative number is negative. 1/(-1) = -1

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Evaluate the expression for $b = 7$ . $\newline$ $\dfrac{b-5}{b-9}$ $\newline$ Write your answer in the simplest form.

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

b = 7

\newline

\dfrac{b-5}{b-9}

\newline

Write your answer in the simplest form.

Identify Expression: Identify the expression after substituting $b = 7$ Substitute $7$ for $b$ in $\frac{b - 5}{b - 9}$ . $\frac{7 - 5}{7 - 9}$
Substitute and Simplify: Evaluate $7 - 5$ $\newline$ $7 - 5 = 2$ $\newline$ Numerator: $2$
Evaluate Numerator: Evaluate $7 - 9$ $\newline$ $7 - 9 = -2$ $\newline$ Denominator: $-2$
Evaluate Denominator: $\frac{2}{(-2)}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Divide both $2$ and $-2$ by $2$ to simplify. $\newline$ $\frac{2}{(-2)} = \frac{1}{(-1)}$ $\newline$ Simplify the fraction by recognizing that a positive number divided by a negative number is negative. $\newline$ $\frac{1}{(-1)} = -1$