Question

(y-1=-x-6)(y-3=-2(x-5)

`(y - 1 = - x - 6)(y - 3 = - 2(x - 5)`

Answer 1

`y-1=-x-6\qquad\text{add 1 to both sides}\\\\y=-x-5\qquad(*)\\\\\text{substitute it to the equation}\ y-3=-2(x-5)\\\\(-x-5)-3=-2(x-5)\qquad\text{use distributive property}\\\\-x-5-3=-2x+10\\\\-x-8=-2x+10\qquad\text{add 8 to both sides}\\\\-x=-2x+18\qquad\text{add 2x to both sides}\\\\\boxed{x=18}\\\\\text{put the value of x to}\ (*)\\\\y=-18-5\\\\\boxed{y=-23}\\\\Answer:\ x=18\ and\ y=-23\to(18,\ -23)`