Question

9x-7/3x+5=3x-4/x+6 solve and check this equation

Answer 1

Hey dear !!


Here is yr answer////------

$\frac{9x - 7}{3 x + 5} = \frac{3x - 4}{x + 6} \\ \\ (9x - 7)(x + 6) = (3x - 4)(3x + 5) \\ \\ {9x}^{2} + 54x - 7x - 42 = {9x}^{2} + 15x - 12x - 20 \\ \\ {9x}^{2} - {9x}^{2} + 54x - 15x - 7x + 12x = - 20 + 42 \\ \\ 44x = 22 \\ \\ x = \frac{22}{44} \\ \\ x = \frac{1}{2}$


Hope it hlpz....

Answer 2

Answer:

$(9x - 7)(x + 6) = (3x - 4x)(3x + 5) \\ 9x^{2} + 54x - 7x - 42 = 9x^{2} + 15x - 12x - 20 \\ 9x^{2} - 9x^{2} + 54x - 15x - 7x + 12x = - 20 + 40 \\ 44x = 22 \\ x = 22 \44 = 1 \2 \\ x = 1 \2$