Question

ECUACIONES E INECUACIONES ejercicios ayudaaaaa xfaaaaa

Answer 1

Primer ejercicio:

$\frac{3x-1}{x-2}=\frac{3x-7}{x+4} \\\\(3x-1)(x+4)=(3x-7)(x-2)\\\\3x^{2} +12x-x-4=3x^{2} -6x-7x+14\\\\3x^{2} -3x^{2} +11x+13x=14+4\\\\24x=18\\\\x=\frac{18}{24}\\\\x=\frac{3}{4}$

Comprobar:

$\frac{3(\frac{3}{4}) -1}{(\frac{3}{4})-2}=\frac{3(\frac{3}{4})-7}{(\frac{3}{4})+4} \\\\\frac{(\frac{9}{4}) -1}{(\frac{3}{4})-2}=\frac{(\frac{9}{4})-7}{(\frac{3}{4})+4} \\\\\frac{\frac{5}{4}}{-\frac{5}{4}}=\frac{-\frac{19}{4}}{\frac{19}{4}} \\\\-1=-1$

Segundo ejercicio:

$\frac{3x-4}{2}=\frac{5-x}{3} \\\\(3x-4)(3)=(2)(5-x)\\\\9x-12=10-2x\\\\9x+2x=10+12\\\\11x=22\\\\x=\frac{22}{11}$

Comprobar:

$\frac{3(\frac{22}{11}) -4}{2}=\frac{5-(\frac{22}{11}) }{3} \\\\\frac{(\frac{66}{11}) -4}{2}=\frac{3 }{3} \\\\\frac{2}{2} =1\\\\1=1$