2. Are the lines 2x - y = 2, 4x - y = 8 parallel?
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Step-by-step explanation:
Given :-
the lines 2x - y = 2, 4x - y = 8
To find:-
Given lines are parallel or not
Solution :-
Given pair of linear equations in two variables
are 2x-y=2=>2x-y-2=0
a1=2;b1=-1;c1=-2
and,
4x-y=8=>4x-y-8=0
a2=4 ; b2=-1;c2=-8
a1/a2=2/4=1/2
b1/b2=-1/-1=1
C1/c2=-2/-8=1/4
a1/a2≠b1/b2≠c1/c2
So given lines are not parallel lines
Answer:-
Given lines are not parallel lines.
They are Intersecting lines.
Used concept:-
If a1/a2≠b1/b2 then the lines are consistent they are called intersecting lines with only one solution.
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thanks for free points
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