Question

A/(2x - 3) + b/(3x + 4) = (x + 7)/(6x ^ 2 - x - 12)​

Answer 1

`(a)/(2x - 3) + (b)/(3x +4) = \frac{x + 7}{ 6{x}^(2) - x - 12}`

`(3x + 4)a + (2x - 3)b = x + 7`

3a + 2b = 1---->9a + 6b = 3

4a - 3b = 7---->8a - 6b = 14

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17a = 17

a = 1, b = -1