Answer:
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5
---------------
-2x+2y+3z=0
-2x-y+z=-3
---------------- Subtract
3y + 2z = 3 Eqn A
=========================
-2x-y+z=-3
2x+3y+3z=5
---------------- Add
2y + 4z = 2
6y + 4z = 6 Eqn A times 2
------------------------------------ Subtract
-4y = -4
y = 1
-----------------
z = 0
-------------------
x = 1
X+y=6 is.....
solve for x=0... y=6
solve for y=0... x=6
intersect x-axis at (6,0)... calculate the slop: solve for x=1... 1+y=6... 6-1= 5 y=5
calculate the slope: a= y(x=1)-y(x=0)/1=-1
x+y=6