SOLUTION: solve y=-6x-5 y=-2x-1 where do these two lines intersect? your answer should be point (x,y)

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Question 1108109: solve y=-6x-5
y=-2x-1
where do these two lines intersect?
your answer should be point (x,y)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +y+=+-6x+-+5+
(2) +y+=+-2x+-+1+
---------------------
Plug (1) into (2)
+-6x+-+5+=+-2x+-+1+
Multiply both sides by +-1+
+6x+%2B+5+=+2x+%2B+1+
Subtract +2x+ from both sides
+4x+%2B+5+=+1+
Subtract +5+ from both sides
+4x+=+-4+
+x+=+-1+
--------------------
and
(2) +y+=+-2x+-+1+
(2) +y+=+-2%2A%28-1%29+-+1+
(2) +y+=+2+-+1+
(2) +y+=+1+
-------------------------------
The intersection is at ( -1, 1 )
-------------------------------
check:
(1) +y+=+-6x+-+5+
(1) +1+=+-6%2A%28-1%29+-+5+
(1) +1+=+6+-+5+
(1) +1+=+1+
and
(2) +y+=+-2x+-+1+
(2) +1+=+-2%2A%28-1%29+-+1+
(2) +1+=+2+-+1+
(2) +1+=+1+
OK