Question

solve 2x +3/x+1 = 6x + 5/3x +2

Answer 1

Step-by-step explanation:

$\frac{2x + 3}{x + 1} = \frac{6x + 5}{3x + 2} \\ \: by \: cross \: multiply \\ 2x + 3 \times 3x + 2 = 6x + 5 \times x + 1 \\ 6x {}^{2} + 4x + 9x + 6 = 6x {}^{2} + 6x + 5x + 5 \\ 6x {}^{2} + 13x + 6 = 6x {}^{2} + 11x + 5 \\ 13x - 11x = 5 - 6 \\ 2x = - 1 \\ x = \frac{ - 1}{2}$

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