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.


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