Question

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

options: 2.5, \\(-\frac{1}{2}\\), 3, 4

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 and solve for k

$9 = 3k \implies k = 3$

Answer:

3