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Linear Equations in Two Variables
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08/07/2021 10:50 am
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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)
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08/07/2021 10:52 am
(i) (0, 2)
(x, y) = (0, 2)
Here, x = 0 and y = 2
Substituting the values of x and y in the equation x–2y = 4, we get,
x–2y = 4
⟹ 0 – (2×2) = 4
But, -4 4
(0, 2) is not a solution of the equation x–2y = 4
(ii) (2, 0)
(x, y) = (2, 0)
Here, x = 2 and y = 0
Substituting the values of x and y in the equation x -2y = 4, we get,
x -2y = 4
⟹ 2-(2×0) = 4
⟹ 2 -0 = 4
But, 2 ≠ 4
(2, 0) is not a solution of the equation x-2y = 4
(iii) (4, 0)
(x, y) = (4, 0)
Here, x= 4 and y=0
Substituting the values of x and y in the equation x -2y = 4, we get,
x – 2y = 4
⟹ 4 – 2 × 0 = 4
⟹ 4-0 = 4
⟹ 4 = 4
(4, 0) is a solution of the equation x – 2y = 4