Question

prove that the lines representing the linear equation: 2x-y=3,4x-y=5 intersect at a point

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 ⊕⊕