Question

Solve for x -: x+3 upon x+2 = 3x-7 upon 2x-3 and x is not equal to -2,3upon 2

Answer 1

Step-by-step explanation:

$\frac{x + 3}{x + 2} = \frac{3x - 7}{2x - 3} \\ (x +3 )(2x - 3) = (x + 2)(3x - 7) \\ 2 {x}^{2} - 3x + 6x - 9 = 3 {x}^{2} - 7x + 6x - 14 \\ 2 {x}^{2} + 3x - 9 = 3 {x}^{2} - x - 14 \\ 3 {x}^{2} - x - 14 - 2 {x}^{2} - 3x + 9 = 0 \\ {x}^{2} - 4x - 5 = 0 \\ {x}^{2} - 5x + x - 5 = 0 \\ x(x - 5) + 1(x - 5) = 0 \\ (x + 1)(x - 5) = 0 \\ x = - 1 \: or \: x = 5$

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