Question

resolva as seguintes equações 1/6-x/2=-2x/3+1/4

Answer 1

Resolução:

1/6-x/2=-2x/3+1/4

2x/3-x/2=1/4-1/6

MMC de 2,3,4,6| 2

1,3,2,3 | 2

1,3,1,3 | 3

1,1,1,1. |MMC = 2.2.3 = 12.

2x.4/12-6x/12= 1.3/12-1.2/12

Simplicação do denominador:

8x-6x= 3-2

2x=1

x=1/2

Answer 2

$\frac{1}{6} - \frac{x}{2} = - \frac{2x}{3} + \frac{1}{4} \\ \\ \frac{2 - 6x}{12} = \frac{ - 8x + 3}{12} \\ \\ 2 - 6x = - 8x + 3 \\ \\ - 6x + 8x = 3 - 2 \\ \\ 2x = 1\\ \\ x = \frac{1}{2}$