Respuesta :
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]