Question

resuelva los ejercicios de ecuaciones con
denominadores CON EL PROCEDIMIENTO X FA
A) 3x+x/2=4
B) 5+2x/3=4x-7
C) 4x-1/6+2=3x-1/8
D) 2+6x=8-4x/6
E) x+2/3-1=2x-1/4

Answer 1

Respuesta:

$a)3x + \frac{x}{2} = 4 \\ 2(3x + \frac{x}{2} ) = 4 \times 2 \\ 6x + x = 8 \\ 7x = 8 \\ x = \frac{8}{7}$

$b)5 + \frac{2x}{3} = 4x - 7 \\3(5 + \frac{2x}{3} ) =3 (4x - 7) \\ 15 + 2x = 12x - 21 \\ 15 + 21 = 12x - 2x \\ 36 = 10x \\ \frac{36}{10} = x \\ \frac{18}{5} = x$

$c)4x - \frac{1}{6} + 2 = 3x - \frac{1}{8} \\ 24(4x - \frac{1}{6} + 2) =24 (3x - \frac{1}{8} ) \\ 96x - 4 + 48 = 72x - 3 \\ 96x + 44 = 72x - 3 \\ 96x - 72x = - 3 - 44 \\ 24x = - 47 \\ x = - \frac{47}{24}$

$d)2 + 6x = 8 - \frac{4x}{6} \\6 (2 + 6x) = 6(8 - \frac{4x}{6} ) \\ 12 + 36x = 48 - 4x \\ 36x + 4x = 48 - 12 \\ 40x = 36 \\ x = \frac{36}{40} = \frac{9}{10}$

$e)x + \frac{2}{3} - 1 = 2x - \frac{1}{4} \\ 12(x + \frac{2}{3} - 1 ) = 12(2x - \frac{1}{4} ) \\ 12x + 4 \times 2 - 12 = 24x - 3 \\ 12x + 8 - 12 = 24x - 3 \\ 12x - 4 = 24x - 3 \\ - 4 + 3 = 24x - 12x \\ - 1 = 12x \\ - \frac{1}{12} = x$