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Solve:`4x+6/y=15``6x-8/y=14`and hence find p if `y=p x-2` |
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Answer» The given equation are `4x + (6)/(y) = 15` ….(1) and `6x - (8)/(y) = 14 ….(2)` Multiplying equation (1) by 4 and (2) by 3, we get `16x + (24)/(y) = 60` ….(3) `18x - (24)/(y) = 42 ….(4)` Adding equations (3) and (4), we get 34x = 102 implies x = 3 Substituting x = 3 in equation (1), we get `4 xx 3 + (6)/(y) = 15` implies `(6)/(y) = 15 - 12` implies `(6)/(y) = 3` implies 3y = 6 or y = 2 Hence, the solution is `{:(x = 3),(y = 2):}}` |
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