SOLUTION: Where does the equations y=-6x+30 and y=3x-6 intersect? I need the solution. Please HELP ME RIGHT AWAY!

Question 658968: Where does the equations y=-6x+30 and y=3x-6 intersect? I need the solution. Please HELP ME RIGHT AWAY!
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Where does the equations y=-6x+30 and y=3x-6 intersect?
---------------
Actually, the lines of the graphs intersect, not the equations themselves.
---------
y=-6x+30 and y=3x-6
Since they both equal y:
-6x+30 = 3x-6
30 = 9x-6
36 = 9x
x = 4
-------
y = 3x-6
y = 6
Intersection at (4,6)

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Hi
These equations are in the slope-intercept form.
I would put them into the standard form which
looks like

Add to both sides
(1)
and

Subtract from both sides

Add to both sides

Now write it the other way around
(2)
Add equations (1) and (2)
(1)
(2)

Now plug this result back into (1) or (2)
(1)
(1)
(1)
(1)
The intersection is at ( 4,6 )
Here's the plot:

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