Check which of the following are solutions of the equation 2x - y = 6

1.	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) (\(\sqrt 3\),0) (v) ( \(\frac{1}{2}\),-5)
Answer» (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.

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) (\(\sqrt 3\),0) (v) ( \(\frac{1}{2}\),-5)

Answer»

(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.