Question

Check which of the following are solutions of the equation x – 2y = 4 and which are not: 

(i) (0, 2) 

(ii) (2, 0) 

(iii) (4, 0) 

(iv) (√2, 4√2) 

(v) (1, 1)

Answer 1

(i) (0, 2) 

x – 2y = 4 

0 – 2(2) = 4 

0 – 4 = 4 

-4 ≠ 4 

∴ (0, 2) is not a solution. 

(ii) (2, 0) 

x – 2y = 4 

2 – 2(0) = 4 

2 – 0 = 4 

2 ≠ 4 

∴ (2, 0) is not a solution 

(iii) (4, 0) 

x – 2y = 4 

4 – 2(0) = 4 

4 – 0 = 4 

4 = 4 

∴ (4, 0) is a solution.

(v) (1, 1) 

x – 2y = 4 

1 – 2(1) = 4 

1 – 2 = 4 -1 ≠ 4 

∴ (1, 1) is not a solution.