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Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case : (i) 2x + 3y = 9.35(ii) x – \(\frac{y}{5}\)– 10 = 0 (iii) -2x + 3y = 6 (iv) x = 3y (v) 2x = -5y (vi) 3x + 2 = 0 (vii) y – 2 = 0 (viii) 5 = 2x |
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Answer» i) 2x + 3y = 9.35 OR 2x + 3y – 9.35 = 0 If we compare this to ax + by + c = 0, Here, a = 2, b = 3, c = 9.35. (ii) x – \(\frac{y}{5}\)– 10 = 0 If we compare this to ax + by + c = 0, Here, a = 1, b = \(\frac{-1}{5}\), c=10. (iii) -2x + 3y = 6 OR -2x + 3y – 6 = 0 If we compare this to ax + by + c = 0, Here, a = -2, b = 3, c = -6. (iv) x = 3y x – 3y = 0 x – 3y + 0 = 0 If we compare this to ax + by + c = 0, Here, a = 1, b = -3, c = 0. (v) 2x = -5y 2x + 5y = 0 2x + 5y + 0 = 0 If we compare this to ax + by + c = 0, Here, a = 2, b = 5, c = 0. (vi) 3x + 2 = 0 3x + 0y + 2 = 0 If we compare this to ax + by + c = 0, Here, a = 3, b = 0, c = 2. (vii) y – 2 = 0 0x + 1y – 2 = 0 If we compare this to ax + by + c = 0, Here, a = 0, b = 1, c = -2. (viii) 5 = 2x -2x + 5 = 0 -2x + 0y + 5 = 0 If we compare this to ax + by + c = 0, Here, a = -2, b = 0, c = 5. |
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