y=x-4
y=-x+6
---------------------
Substitute x - 4 for y in y=-x+6
x-4=-x+6
--------------------------------
Add X on each side
x-4+x=-x+6+x
2x - 4 = 6
--------------------------------------
Add 4 on each side
2x-4+4=6+4
2x = 10
------------------------------------------------
Divide by 2 on each side
2x ÷ 2 = 10 ÷ 2
x = 5
Now we have X
================================================================
To find Y we substitute 5 for x in y=x-4
y = 5 - 4
y = 1
-----------------------------------------------------
Your answers are Y = 1 and X = 5