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10. solve \\(\\frac{k + 1}{2k - 1} = \\frac{4}{5}\\) options: 2, 0, 1, 3

Question

  1. solve \\(\frac{k + 1}{2k - 1} = \frac{4}{5}\\)

options: 2, 0, 1, 3

Explanation:

Step1: Apply cross-multiplication

$5(k + 1) = 4(2k - 1)$

Step2: Expand both sides

$5k + 5 = 8k - 4$

Step3: Rearrange terms

$5 + 4 = 8k - 5k$

Step4: Calculate

$9 = 3k$

Step5: Solve for k

$k = 3$

Answer:

3