Question

Solve the following equation
3/x+1=6/5x-1​

Answer 1

Step-by-step explanation:

$(1) \: \: \frac{3}{x + 1} = \frac{6}{5x - 1}$

$= \frac{3}{x + 1} - \frac{6}{5x - 1} = 0$

$= 3(5x ) - (6(x + 1) = 0$

$= 15x - (6x + 6) = 0$

$= 15x - 6x - 6 = 0$

$= 9x = 6$

$x = \frac{6}{9} = \frac{2}{3} = 0.66$

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Answer 2

Answer:

$\frac{3}{x + 1} = \frac{5}{5x - 1} \\ 3(5x - 1) = 5(x + 1) \\ 15x - 3 = 5x + 5 \\ 15x - 5x = 5 + 3 \\ 10x = 8 \\ x = \frac{8}{10} \\ x = \frac{4}{5} \\ x = 0.8$

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