Question

Prove that, 2x-y+3=0 and x-2y+1=0, are not parallel

Answer 1

Solution:-

We have equation

$\to \rm \: 2x - y + 3 = 0$

and

$\rm \to \: x - 2y + 1 = 0$

To prove given equation is not parallel:- so Slope of both equation is not equal

Formula

$\rm \to \: slope = \dfrac{ - coefficient \: x}{coefficient \: y}$

For equation :- 1

$\to \rm \: 2x - y + 3 = 0$

$\rm \to \: slope \: = \dfrac{ - 2}{ - 1} = \dfrac{2}{1}$

For equation :- 2

$\rm \to \: x - 2y + 1 = 0$

$\rm \to \: slope \: = \dfrac{ - 1}{2}$

So Slope of equation 1 and equation 2 is not equal

so it is not parallel

Hence proved

Answer 2

Answer:

This question needs to be done on graph

Step-by-step explanation:

Coz without that it is not possible