SOLUTION: Find the equation of the line which passes through the point of the intersection of the two lines 3x - 4y =5 and x - y =2 in the orgin . If the line is represented in the form of a

Algebra ->  Test -> SOLUTION: Find the equation of the line which passes through the point of the intersection of the two lines 3x - 4y =5 and x - y =2 in the orgin . If the line is represented in the form of a      Log On


   

Question 858042: Find the equation of the line which passes through the point of the intersection of the two lines 3x - 4y =5 and x - y =2 in the orgin . If the line is represented in the form of ax (plus) by = c .
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the intersection of the two line.
3x-4y=5
x-y=2
Use eq. 2 to substitute for x in eq. 1,
x=y%2B2
.
.
3%28y%2B2%29-4y=5
3y%2B6-4y=5
-y%2B6=5
-y=-1
y=1
Then
x=1%2B2
x=3
Now find the equation of the line that goes through (0,0) and (3,2).
m=%282-0%29%2F%283-0%29=2%2F3
y=mx%2Bb
y=%282%2F3%29x
3y=2x
-2x%2B3y=0
highlight%282x-3y=0%29