Question

Which expression is equivalent to − 5 6 (x − 1 2 y + 12)? A) 5 6 x + 5 12 y − 10 B) 5 6 x + 5 12 y + 12 C) − 5 6 x + 5 12 y − 10 D) − 5 6 x − 5 12 y − 10

Answer 1

Option A -
`-(5)/(6)(x-(1)/(2)y+12)=-(5)/(6)x+(5)/(12)y-10`

Explanation:

Given : Expression
`-(5)/(6)(x-(1)/(2)y+12)`

To find : Which expression is equivalent to given expression ?

Solution :

Expression
`-(5)/(6)(x-(1)/(2)y+12)`

Applying distributive property,
`a(b+c)=ab+ac`

`-(5)/(6)(x-(1)/(2)y+12)=-(5)/(6)x-(-(5)/(6))((1)/(2)y)+(-(5)/(6))(12)`

`-(5)/(6)(x-(1)/(2)y+12)=-(5)/(6)x+(5)/(12)y-10`

Therefore, option A is correct.