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Evaluate the expression for z=7z = 7.\newlineWrite your answer in simplest form.\newlinez−6−z+2=\frac{z - 6}{-z + 2} = __

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Full solution

Q. Evaluate the expression for z=7z = 7.\newlineWrite your answer in simplest form.\newlinez−6−z+2=\frac{z - 6}{-z + 2} = __
  1. Identify Expression: Identify the expression after substituting z=7z = 7\newlineSubstitute 77 for zz in z−6−z+2\frac{z - 6}{-z + 2}.\newline7−6−7+2\frac{7 - 6}{-7 + 2}
  2. Substitute and Simplify: Evaluate 7−67 - 6\newline7−6=17 - 6 = 1\newlineNumerator: 11
  3. Evaluate Numerator: Evaluate −7+2-7 + 2−7+2=−5-7 + 2 = -5Denominator: −5-5
  4. Evaluate Denominator: 1(−5)\frac{1}{(-5)}\newlineRewrite the fraction in simplest form.\newlineThe fraction 1(−5)\frac{1}{(-5)} is already in its simplest form because the numerator and denominator have no common factors other than 11.\newlineFinal expression: −15-\frac{1}{5}

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