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Solve 15x - 8y = 29 and 17x + 12y = 75. |
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Answer» Given equations are 15x - 8y = 29 …(1) and 17x + 12y = 75 …(2) From equation (1), we get `x = (29 + 8y)/(15) " "...(3)` Substituting value of x from equation (3) in (2), we get `17 ((29 + 8y)/(15)) + 21y = 75` implies 493 + 136y + 180y = 1125 implies 316y = 1125 - 493 implies 316y = 632 implies y = 2 Substituting value of y in equation (3) we get `x = (29 + 8 xx 2)/(15)` `x = (45)/(15)` implies x = 3 Hence, the solution is `{:(x = 3),(y = 2):}}` |
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