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Write two solutions for each of the following equations : (i) 3x + 4y = 7 (ii) x = 6y (iii) x + πy = 4 (iv) \(\frac{2}{3}\)x - y = 4 |
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Answer» (i) 3x + 4y = 7 At x = 1 3 + 4y = 7 ⇒ y = 1 Thus, x = 1, y = 1 is a solution At x = 0, 0 + 4y = 7 ⇒ y = 7/4 Thus, x = 0, y = 7/4 is a solution (ii) x = 6y At, y = 0 ⇒ x = 0 Thus, x = 0, y = 0 is a solution. At y = 1, ⇒ x = 6 Thus, x = 6, y = 1 is a solution (iii) x + πy = 4 At x = 0, πy = 4 ⇒ y = 4/π Thus, x = 0, y = 4/π is a solution At y = 0, ⇒ x + 0 = 4 ⇒ x = 4 Thus, x = 4, y = 0 is a solution (iv) \(\frac{2}{3}\)x-y = 4 At x = 0, ⇒ 0 – y = 4 ⇒ y = - 4 Thus, x = 0, y = 4 is a solution At x = 3, ⇒ 2 – y = 4 ⇒ y = -2 Thus, x = 3, y = - 2 is a solution |
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