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Question -

Check which of the following are solutions of the equations 2x – y =6 and which are not
(i) (3, 0)                    
(ii) (0, 6)
(iii) (2,-2)                 
(iv)(  ,0)
(v) (1/2 ,-5)



Answer -

Equationis 2x – y = 6
(i) Solution is (3, 0) i.e. x =3, y = 0
Substituting the value of x and y in the equation
2 x 3 – 0 = 6
6 – 0= 6
6 = 6
Which is true
 (3, 0) is the solutions.
(ii) (0, 6) i.e. x =0, y =6
Substituting the value of x and y in the equation
2 x 0 – 6 = 6
 0-6 = 6
-6 =6  which is not true
  (0, 6) is not its solution’
(iii) (2, -2) i.e. x = 2, y =-2
Substituting the value of x and y in the equation
2 x 2 – (-2) = 6
4 + 2= 6
6 = 6which is true.
  (2, -2) is the solution.
(iv) (
,0) i.e. x = , y = 0,

Substituting the value of x and y in the equations

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