Question

Find whether the lines represented by 2x+y=3 and 4x+2y=6 are parallel, coincident or intersecting

Answer 1

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Answer 2

Answer:

The given line are parallel.

Step-by-step explanation:

Given : The lines represented by 2x+y=3 and 4x+2y=6 are parallel, coincident or intersecting.

To find : Whether the lines are parallel?

Solution :

According to the lines,

$a_1=2 ,b_1=1 ,c_1=-3$

$a_2=4,b_2=2 ,c_2=-6$

When the lines are parallel, coincident or intersecting,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$

$\frac{2}{4}=\frac{1}{2}=\frac{-3}{-6}$

$\frac{1}{2}=\frac{1}{2}=\frac{1}{2}$

Condition satisfied by the points.

Therefore, The given line are parallel.