Question

Which of the following equations are equivalent to y = -x-2 (A) y + x = -2 (B) 3y = 3x - 6 (C) --x + 3y = -2 -x + 3y = -6

Answer 1

let's check each one of the options:

(A) is not equivalent

(B) is not equivalent

(C) is not equivalent

(D) it is equivalent to the given equation because

`-x+3y=-6\text{ }`

we divide in both sides of the equality by 3 and obtain:

`-(1)/(3)x+y=-2`

then:

`y=(1)/(3)x-2`