SOLUTION: 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:

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.
RELATED QUESTIONS
are the graph of the lines in the pair parallel?explain y=5x+6... (answered by College Student)
Are the graphs of the lines in the pair parallel? Explain. y = 3x + 10 12x (answered by MathLover1,macston)
Are the graphs of the lines in the pair parallel? Explain. y = x � 11 �4x + y =... (answered by Fombitz)
are the graphs of the lines in the pair parallel?explain y=3/5x-13... (answered by ewatrrr)
Are the graphs of the lines in this pair parallel? y=3x-1... (answered by Boreal)
are the graphs of the line in the pair parallel? explain y=4x+6 -15x+3y=-45 (answered by LinnW,stanbon)
y=1/6x+8 -2x+12y=-11 are the graphs of the lines in the pair... (answered by robertb)
Are the graphs of the lines in the pair parallel? Explain y=1/3x + 9... (answered by ewatrrr)
are the graphs of the lines in the pair parallel?explain. y=3/7x+11 -3x+7y+13 (answered by josgarithmetic)