SOLUTION: I am trying to decide wether each pair of lines is Perpendicular, parallel, or neither. 2x-y=5, 2x+y=3 I have worked out: 2x-y=5 2x-y-5=5-5 2x-y-5=0 2x-y+y-5=0+y 2x-5=y I

Question 397345: I am trying to decide wether each pair of lines is Perpendicular, parallel, or neither. 2x-y=5, 2x+y=3
I have worked out:
2x-y=5
2x-y-5=5-5
2x-y-5=0
2x-y+y-5=0+y
2x-5=y
I plugged 2 in for x
2(2)-5=y
4-5=y
-1=y
2x+y=3
2x+3=y
Plugged in 2 for x again
2(2)+3=y
4+3=y
7=y
In my book it says that the answer is neither Perpendicular or parallel but I don't understand why that is. I thought if you were solving for y the coefficient of x is the slope so wouldn't the slope on both be 2?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

2x-y = 5  OR y = 2x - 5  |good work!

2x+y=3  OR   y = -2x + 3 |note subtracting 2x from both sides of the equation

Yes!! solving for y, the coefficient of x is the slope

to be parallel, line must have same slope

to be ⊥, lines must have slopes that are negative 'reciprocals' of one another

Neither is the case, therefore the lines are neither parallel or perpendicular.

However, Yes!, they do intersect at Pt (2,-1)...have that point in common



 

RELATED QUESTIONS

y=-1/2x-11
16x-8y=-8
tell wether the lines for each pair of equations are... (answered by robertb)
Pair of lines y=-2x +3 and 2x + y = -7, is it parallel, perpendicular or... (answered by mananth)
y=-2x+5 and y=1/2x indicate if each pair of lines is parallel, perpendicular, or... (answered by oberobic)
How to decide whether the pair of lines is parallel, perpendicular or neither

2x+3y=8
 (answered by blwinbbbles)
decide whether the pair of lines is parallel, perpendicular or neither
 2x + 5y =3
 2x... (answered by Alan3354)
I have to determine whether the pair of lines are parallel, perpendicular, or neither.

 (answered by josgarithmetic,ikleyn)
decide whether the pair of lines is parallel, perpendicular or neither.
 5x+2y=5... (answered by stanbon)
decide whether the pair of lines is parallel, perpendicular or neither
3x+2y=7... (answered by CubeyThePenguin)
Tell whether the lines for each pair of equations are Parallel, Perpendicular, or... (answered by robertb)