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8. solve \\(\\frac{m + 1}{2m + 1} = \\frac{3}{5}\\) options: 0, 3, 1, 2

Question

  1. solve \\(\frac{m + 1}{2m + 1} = \frac{3}{5}\\)

options: 0, 3, 1, 2

Explanation:

Step1: Cross-multiply to eliminate fractions

$5(m + 1) = 3(2m + 1)$

Step2: Expand both sides

$5m + 5 = 6m + 3$

Step3: Isolate variable m

$5 - 3 = 6m - 5m$

Step4: Calculate the result

$m = 2$

Answer:

2