Question

Which expression is equivalent to the given expression? −(12y+14) A:−14(1+2y) B:14(2y−1) C:−2(14y−18) D:2(18−14y)

Answer 1

- 1/4 ( 1 + 2y) was the answer i got

Answer 2

The expression
`-((1y)/(2)+(1)/(4) )` is equivalent to the expression
`(-1)/(4)+(-1y)/(2)` .

Option (A) is correct .

Explanation:

As given the expression in the question be as follow .

`= -((1y)/(2)+(1)/(4) )`

it is also written as

`= -(1y)/(2)-(1)/(4)`

Now take

`= (-1)/(4)(1+2y)`

Simplify the expression

`= (-1)/(4)+2y* (-1)/(4)`

`= (-1)/(4)+(-2y)/(4)`

`= (-1)/(4)+(-1y)/(2)`

Therefore the expression
`-((1y)/(2)+(1)/(4) )` is equivalent to the expression
`(-1)/(4)+(-1y)/(2)` .

Option (A) is correct .