Question

Find nature of the lines representing the
inear equations 2x - y = 3 and 4x - y 5.​

Answer 1

hello users .......

we have given two equations are 

2x - y = 3 .............(1)

and 

4x - y = 5 .............(2)

we have to prove that 

these lines intersect each other 

solution :-

in equation (1) 

y = 2x -3 

put this value in equation (2) we get ,

 = 4x -(2x -3 ) = 5 

=> 2x + 3 = 5  

=> 2x = 5-3 = 2

=> x = 1 

now put x in (1) we get 

= 2 * 1 - y = 3

=> -y = 3-2

=> y = -1 

=> these lines are intersecting at point (1,-1) 

hence proved 

these lines are intersecting 

⊕⊕ hope it helps ⊕⊕

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