Mathematics
Write four solutions for the following equation:
πx + y = 9
Linear Equations
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Answer
Given, equation :
⇒ πx + y = 9
Substituting x = 0, in the given equation, we get :
⇒ π(0) + y = 9
⇒ 0 + y = 9
⇒ y = 9
∴ Solution is (0, 9).
Substituting x = 1, in the given equation, we get :
⇒ π(1) + y = 9
⇒ π + y = 9
⇒ y = 9 - π
∴ Solution is [1, (9 - π)].
Substituting x = 2, in the given equation, we get :
⇒ π(2) + y = 9
⇒ 2π + y = 9
⇒ y = 9 - 2π
∴ Solution is [2, (9 - 2π)].
Substituting x = 3, in the given equation, we get :
⇒ π(3) + y = 9
⇒ 3π + y = 9
⇒ y = 9 - 3π
∴ Solution is [3, (9 - 3π)].
Hence, solutions for equation πx + y = 9 are (0, 9), [1, (9 - π)], [2, (9 - 2π)] and [3, (9 - 3π)].
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