Respuesta :

Answer:

x = negitive 3

x =  10.5

Step-by-step explanation:

Answer:

x = -3 and x = 21/2

Step-by-step explanation:

Case 1:

[tex]\frac{X}{12} + \frac{1}{3} = \frac{1}{12}[/tex]

[tex]\frac{X}{12} = \frac{1}{12} - \frac{1}{3}[/tex]

Now since the LCM of 12 and 3 is 12 therefore,

[tex]\frac{X}{12} = \frac{1 - 4}{12}[/tex]

[tex]\frac{X}{12} = - \frac{3}{12}[/tex]

[tex]X = -\frac{3}{12} \times 12 = -3[/tex]

Case 2:

[tex]\frac{X}{14} - \frac{1}{2} = \frac{1}{4}[/tex]

[tex]\frac{X}{14} = \frac{1}{4} + \frac{1}{2}[/tex]

Since the LCM of 2 and y is 4, therefore

[tex]\frac{X}{14} = \frac{1 + 2}{4}[/tex]

[tex]\frac{X}{14} = \frac{3}{4}[/tex]

[tex]X = \frac{3}{4} \times 14 = \frac{21}{2}[/tex]