Q. 34.2( 176 Votes )

# 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)

(v) (1, 1)

Answer :

For a linear equation a point will be its solution, if it satisfies the equation.

So put the points directly in the equation given, if the equation is satisfied, it is a solution or else it is not.

Given Equation: x - 2 y = 4

(i)

Put x = 0

And

y = 2

In the equation x – 2y = 4

0 – 2 * 2 = 4

-4 ≠ 4

Therefore,

(0, 2) isn’t a solution of the given equation

(ii) Put x = 2

And

y = 0

In the equation x – 2y = 4

2 – 2 * 0 = 4

2 ≠ 4

Therefore,

(2, 0) isn’t a solution of the given equation

(iii) Put x = 4

And

y = 0

In the equation x – 2y = 4

4 – 2 * 0 = 4

4 = 4

Therefore,

(4, 0) is a solution of the equation

(iv) Put x =

And

In the equation x – 2y = 4

(1 – 8) = 4

≠ 4

Therefore,

is n’t a solution of the given equation

(v) Put x = 1

And

y = 1

In the equation x – 2y = 4

1 – 2 * 1 = 4

-1 ≠ 4

Therefore, (1, 1) isn’t a solution of the given equation

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