Question 368733: y=5x+6
-18x+3y=-54
Are the graphs of the lines in the pair parallel? Explain.
Solution:
In the second equation, divide everything by 3: -6x+y=-54
Then, add 54 to each side: 54-6x+y=0
Next, subtract y from each side: -6x+54=-y
Now, add the two equations together: 0=-x+60
Finally, add x to both sides: x=60
The equation "x=60" denotes a vertical line, but the equation "y=5x+6" denotes a line with a slope of 5, so the lines are not parallel.
Found 2 solutions by mananth, acmc:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! y=5x+6..............1
...
-18x+3y=-54
3y= 18x-54
/3
y = 6x -18 .......2
compare the slopes.
They are not the same. Hence they are not parallel lines.
..
...
m.ananth@hotmail.ca
Answer by acmc(2)  (Show Source):
You can put this solution on YOUR website! In the second equation, divide everything by 3: -6x+y=-54
Then, add 54 to each side: 54-6x+y=0
Next, subtract y from each side: -6x+54=-y
Now, add the two equations together: 0=-x+60
Finally, add x to both sides: x=60
The equation "x=60" denotes a vertical line, but the equation "y=5x+6" denotes a line with a slope of 5, so the lines are not parallel.
|
|
|
