Linear Equations in Two Variables — Question 3

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)].