Question

Which value of x satisfies the equation 1/6 (x+ 1/2 )= 19/12 ?

Answer 1

The initial equation is:

`(1)/(6)(x+(1)/(2))=(19)/(12)`

Applying distributive property:

`(1)/(6)x+(1)/(12)=(19)/(12)`

Substracting (1/12) on both sides:

`\begin{gathered} (1)/(6)x+(1)/(12)-(1)/(12)=(19)/(12)-(1)/(12) \\ (1)/(6)x=(18)/(12) \end{gathered}`

Multiplying by 6 on both sides:

`\begin{gathered} (1)/(6)x\cdot(6)=(18)/(12)\cdot(6) \\ x=9 \end{gathered}`

So, the value of x that satisfied the equation is 9.