Evaluate the expression for x = -2. Write your answer in simplest form. x - 8/-x + 6 = ____

Identify Expression: Identify the expression after substituting x = -2 Substitute -2 for x in x - 8/-x + 6. ((-2) - 8)/(-(-2) + 6)Substitute x = -2: Evaluate (-2) - 8 (-2) - 8 = -10 Numerator: -10Evaluate Numerator: Evaluate -(-2) + 6 -(-2) + 6 = 2 + 6 = 8 Denominator: 8Evaluate Denominator: -10/8 Rewrite the fraction in simplest form. Divide both -10 and 8 by their greatest common divisor, which is 2. -10/8 = (-5)/4

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Evaluate the expression for $x = -2$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{x - 8}{-x + 6} =$ __

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

x = -2

\newline

Write your answer in simplest form.

\newline

\frac{x - 8}{-x + 6} =

Identify Expression: Identify the expression after substituting $x = -2$ Substitute $-2$ for $x$ in $\frac{x - 8}{-x + 6}$ . $\frac{(-2) - 8}{-(-2) + 6}$
Substitute $x = -2$ : Evaluate $(-2) - 8$ $\$-2) - 8 = -10$ Numerator: $-10$
Evaluate Numerator: Evaluate $-(-2) + 6$ $-(-2) + 6 = 2 + 6 = 8$ Denominator: $8$
Evaluate Denominator: $-\frac{10}{8}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Divide both $-10$ and $8$ by their greatest common divisor, which is $2$ . $\newline$ $-\frac{10}{8} = \frac{-5}{4}$