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Evaluate the expression for q=−4q = -4.\newlineWrite your answer in simplest form.\newlineq−3−q−9=\frac{q - 3}{-q - 9} = __

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Full solution

Q. Evaluate the expression for q=−4q = -4.\newlineWrite your answer in simplest form.\newlineq−3−q−9=\frac{q - 3}{-q - 9} = __
  1. Identify Expression: Identify the expression after substituting q=−4q = -4\newlineSubstitute −4-4 for qq in q−3−q−9\frac{q - 3}{-q - 9}.\newline(−4)−3−(−4)−9\frac{(-4) - 3}{-(-4) - 9}
  2. Substitute and Simplify: Evaluate (−4)−3(-4) - 3(−4)−3=−7(-4) - 3 = -7Numerator: −7-7
  3. Evaluate Numerator: Evaluate −(−4)−9-(-4) - 9−(−4)−9=4−9=−5-(-4) - 9 = 4 - 9 = -5Denominator: −5-5
  4. Evaluate Denominator: −7/(−5)-7/(-5)\newlineRewrite the fraction in simplest form.\newlineDivide both −7-7 and −5-5 by their greatest common divisor, which is 11, so the fraction is already in simplest form.\newline−7/(−5)=7/5-7/(-5) = 7/5

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