Question

show that the lines 2 X + 5 Y is equal to 1 x minus 3 Y is equal to 6 and X + 5 Y + 2 is equal to zero are concurrent​

Answer 1

Answer:

Yes.The given three lines are concurrent.

Explanation:

2x + 5y = 1----------( 1 )   x 1...........2x + 5y = 1

 x - 3y = 6----------( 2 )   x2..........2x - 6y = 12

Subtracting we get,

11y = -11

y = -11 / 11 =  - 1

So, From eqn....( 2 )

x - 3y = 6

x = 6 + 3y

  = 6 + 3 (-1)

    =6-3

     =3

So ( x, y ) =( 3, -1 )

Now we have to check whether the point ( 3,  -1 ) satisfies the third equation or not.

∴ x + 5y + 2    ( 3rd eqn )

= 3 + 5 (-1) + 2

= 3  - 5 + 2

 =0

Since the point satisfies the third equation, the given three lines are concurrent.