SOLUTION: SOlve each linear system by graphing the functions and finding their point(s) of intersection. State if they systems are consistent or inconsistent. 2x-3y=-2 4x+y=24

Algebra ->  Graphs -> SOLUTION: SOlve each linear system by graphing the functions and finding their point(s) of intersection. State if they systems are consistent or inconsistent. 2x-3y=-2 4x+y=24       Log On


   

Question 1158299: SOlve each linear system by graphing the functions and finding their point(s) of intersection. State if they systems are consistent or inconsistent.
2x-3y=-2
4x+y=24
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2x+-+3y+=+-2+
+4x+%2B+y+=+24+
-----------------------
+3y+=+2x+%2B+2+
+y+=+%28+2%2F3+%29%2Ax+%2B+2%2F3+
-----------------------------
+4x+%2B+y+=+24+
+y+=+-4x+%2B+24+
-----------------------------

Find the intersection:
(1) +2x+-+3y+=+-2+
(2) +4x+%2B+y+=+24+
Multiply both sides of (1) by +2+
and subtract (1) from (2)
(2) +4x+%2B+y+=+24+
(1) +-4x+%2B+6y+=+4+
--------------------------
+7y+=+28+
+y+=+4+
and
(1) +2x+-+3%2A4+=+-2+
(1) +2x+-+12+=+-2+
(1) +2x+=+10+
(1) +x+=+5+
---------------------
The intersection is at ( 5,4 )
This seems to agree with the graph