y=−x+6 and 3x+3y=18

Answer 1

To find the intersection point of these two equations, we can first solve for y in the first equation:

y = -x + 6

Now substitute this into the second equation:

3x + 3(-x + 6) = 18
3x - 3x + 18 = 18
18 = 18

This equation is always true, which means that the two lines are actually the same line and intersect at all points along that line.