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Mathematics

Write four solutions for the following equations:

x = 4y

Linear Equations

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Answer

Given, equation :

⇒ x = 4y

Substituting x = 0, in the given equation, we get :

⇒ 0 = 4y

⇒ y = 04\dfrac{0}{4}

⇒ y = 0

∴ Solution is (0, 0).

Substituting x = 1, in the given equation, we get :

⇒ 1 = 4y

⇒ y = 14\dfrac{1}{4}.

∴ Solution is (1,14)\Big(1, \dfrac{1}{4}\Big).

Substituting x = 4, in the given equation, we get :

⇒ 4 = 4y

⇒ y = 44\dfrac{4}{4}

⇒ y = 1

∴ Solution is (4, 1).

Substituting x = -4, in the given equation, we get :

⇒ -4 = 4y

⇒ y = 44\dfrac{-4}{4}

⇒ y = -1

∴ Solution is (-4, -1).

Hence, solutions for equation x = 4y are (0, 0), (1,14)(1, \dfrac{1}{4}\Big), (4, 1) and (-4, -1).

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