Question 434422
First generate points to draw each line.

6x-2y=6
when x= 0 y=-3 (0,-3)
when y =0, x=1 (1,0)

x-y=3
x=0 , y=-3 (0,-3)
y=0, x=3 9 (3,0)
You have the y & x intercept points of each line.

{{{drawing(300,300,-10,10,-10,10,circle(0,-3,0.3),circle(1,0,0.3),circle(0,-3,0.3),circle(3,0,0.3),graph(300,300,-10,10,-10,10,y=3x-3,y=x-3))}}}

The lines intersect at (0,-3)