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:

$-\frac{1}{3}x+y=-2$

then:

$y=\frac{1}{3}x-2$