Which equation Can pair with x-y=-2 to create a consistent and dependent system

A) 6x+2y=15

B) - 3x+3y=6

C) - 8x-3y=2

D) 4x-4y=6

Given linear equation in standard form x-y=-2.

Let us convert it in slope-intercept form first.

x-y = -2.

Subtracting x from both sides

x-x-y = - 2-x

-y = - x-2.

Dividing both sides by - 1, we get

y = x+2.

We can write it as y=1x+2.

Let us compare it with slope-intercept form y=mx+b.

On comparing, we get slope m = 1 and y-intercept b=2.

Let us check option - 3x+3y=6.

Let us check it by converting in slope-intercept form.

Adding 3x on both sides we get

-3x+3x+3y=6+3x

3y = 3x + 6.

Dividing both sides each term by 3.

3y/3 = 3x/3 + 6/3.

y = 1x + 2.

On comparing with slope-intercept form y=mx+b.

We got slope m=1 and y-intercept = 2.

So, the equation in option B) - 3x+3y=6 create a consistent and dependent system with x-y=-2.