Question

Solve the equation of x


X/12 + 1/3 = 1/12

X/14 - 1/2= 1/4

Answer 1

x = negitive 3

x = 10.5

Explanation:

Answer 2

x = -3 and x = 21/2

Explanation:

Case 1:

`(X)/(12) + (1)/(3) = (1)/(12)`

`(X)/(12) = (1)/(12) - (1)/(3)`

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

`(X)/(12) = (1 - 4)/(12)`

`(X)/(12) = - (3)/(12)`

`X = -(3)/(12) * 12 = -3`

Case 2:

`(X)/(14) - (1)/(2) = (1)/(4)`

`(X)/(14) = (1)/(4) + (1)/(2)`

Since the LCM of 2 and y is 4, therefore

`(X)/(14) = (1 + 2)/(4)`

`(X)/(14) = (3)/(4)`

`X = (3)/(4) * 14 = (21)/(2)`