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Linear Equations in Two Variables
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08/07/2021 10:53 am
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Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(i) (√2, 4√2)
(ii) (1, 1)
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08/07/2021 10:55 am
(i) (√2, 4√2)
(x, y) = (√2, 4√2)
Here, x = √2 and y = 4√2
Substituting the values of x and y in the equation x–2y = 4, we get,
x –2y = 4
⟹ √2-(2 × 4√2) = 4
√2 - 8√2 = 4
But, -7√2 ≠ 4
(√2,4√2) is not a solution of the equation x–2y = 4
(ii) (1, 1)
(x, y) = (1, 1)
Here, x= 1 and y= 1
Substituting the values of x and y in the equation x–2y = 4, we get,
x –2y = 4
⟹ 1 -(2 × 1) = 4
⟹ 1-2 = 4
But, -1 ≠ 4
(1, 1) is not a solution of the equation x–2y = 4