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Question
- evaluate: \\(dfrac{3x - y}{6z - x}\\) if \\(x = 2, y = 8,\\) and \\(z = -2\\). a) \\(dfrac{1}{7}\\) b) \\(-dfrac{1}{7}\\) c) \\(dfrac{1}{5}\\) d) \\(-dfrac{1}{5}\\)
Step1: Substitute values into numerator
$3(2) - 8 = 6 - 8 = -2$
Step2: Substitute values into denominator
$6(-2) - 2 = -12 - 2 = -14$
Step3: Simplify the fraction
$\frac{-2}{-14} = \frac{1}{7}$
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A) $\frac{1}{7}$