For the equation x-2y=4, check which of the following is a solution? - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

Given the equation is,

x - 2 y = 4 .

Using the substitution method,
Let

(x, y) = (0, 2)

We get L.H.S =

1 \times 0 - 2 \times 2 = - 4

≠ 4
Therefore, L.H.S ≠ R.H. S
Therefore,

(0, 2)

is not the solution.
Let

(x, y) = (2, 0)

We get L.H.S =

1 \times 2 - 2 \times 0 = 2

≠ 4
Therefore, L.H.S ≠ R.H. S
Therefore,

(2, 0)

is not the solution.
Let

(x, y) = (1, 1)

We get L.H.S. =

1 \times 1 - 2 \times 1 = - 1

≠ 4
Therefore, L.H. S ≠ R.H. S
Therefore,

(1, 1)

is not the solution.
Let

(x, y) = (4, 0)

We get L.H.S =

1 \times 4 - 2 \times 0 = 4

= 4
Therefore, L.H.S = R.H.S.
Therefore,

(4, 0)

is the solution.
Therefore, option 3) is correct.

For the equation $x - 2 y = 4$ , check which of the following is a solution?