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

(a) (0, 2)

(b) (2, 0)

(c) (4, 0)

(d) (√2, 4√2)

Solution:

Given x – 2y = 4…(i)

Substitute given values in the equation and check whether it satisfies the equation.

Consider option a. Put (0, 2) in (i)

0 – 2×2 = 4

-4 = 4 (not true)

Consider option b. Put (2, 0) in (i)

=> 2 – 0 = 4

2 = 4 (not true)

Consider option c. Put (4, 0) in (i)

=> 4 – 0 = 4 (true)

Consider option d. Put (√2, 4√2) in (i)

√2 – 2(4√2) = 4

√2 – 8√2 = 4

-7√2 = 4 (not true)

Thus the solution of equation is (4, 0).

Hence option c is the solution of given equation. Other options are incorrect.

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