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

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

1. A
(0,2)
2. B
(2,0)
3. C
(4,0)
4. D
(1,1)

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### Solution:

Given the equation is, $x-2y=4.$
Using the substitution method,
Let $\left(x,y\right)=\left(0,2\right)$
We get L.H.S = $1×0-2×2=-4$ ≠ 4
Therefore, L.H.S ≠ R.H. S
Therefore, $\left(0,2\right)$ is not the solution.
Let $\left(x,y\right)=\left(2,0\right)$
We get L.H.S = $1×2-2×0=2$ ≠ 4
Therefore, L.H.S ≠ R.H. S
Therefore, $\left(2,0\right)$ is not the solution.
Let $\left(x,y\right)=\left(1,1\right)$
We get L.H.S. = $1×1-2×1=-1$ ≠ 4
Therefore,  L.H. S ≠ R.H. S
Therefore, $\left(1,1\right)$ is not the solution.
Let $\left(x,y\right)=\left(4,0\right)$
We get L.H.S = $1×4-2×0=4$ = 4
Therefore, L.H.S = R.H.S.
Therefore, $\left(4,0\right)$ is the solution.
Therefore, option 3) is correct.

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