Question

plz do step by step... i need help plZ

Answer 1

$Given : \frac{1}{x+7} + \frac{1}{x+3} = \frac{6}{5}$

LCM = 5(x + 7)(x + 3)

5(x + 3) + 5(x + 7) = 6(x + 7)(x + 3)

5x + 15 + 5x + 35 = 6(x^2 + 3x + 7x + 21)

10x + 50 = 6x^2 + 60x + 126

6x^2 + 60x + 76 = 10x

6x^2 + 50x + 76 = 0

3x^2 + 25x + 38 = 0

3x^2 + 6x + 19x + 38  0

3x(x + 2) + 19(x + 2) = 0

(3x + 19)(x + 2) = 0

x = -19/3, -2.


Hope this helps!