Check which of the following are solutions of the equation 2x-y =6 and which are not:
(i) (3,0)
(ii) (0,6)
(iii) (2,-2)
(iv) (,0)
(v) (, -5)
(i) (3, 0)
⇒ 2 × 3 – 0 = 6
⇒ 6 = 6
Thus (3, 0) is a solution
(ii) (0, 6)
⇒ 2 × 0 – 6 = 6
⇒ -6 = 6
This is not true, thus (0, 6) is not a solution
(iii) (2, -2)
⇒ 2 × 2 + 2 = 6
⇒ 6 = 6
Thus, (2, -2) is a solution
(iv) (√3, 0)
⇒ 2√3 – 0 = 6
⇒ 2√3 = 6
This is not true, thus (2√3, 0) is not a solution
(v) (1/2, - 5)
⇒ (2/2) – (-5) = 6
⇒ 6 = 6
Thus (1/2, -5) is a solution.