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Solve 3x - 4y = 20 and x + 2y = 5. |
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Answer» The given equations are 3x - 4y = 20 …(1) and x + 2y = 5 …(2) Multiplying equation (1) by 1 and (2) by 2, we get 3x - 4y = 20 ….(3) 2x + 4y = 10 ….(4) Adding these equations, we get 5x = 30 implies x = 6 Substituting x = 6 in equation (1), we get `3 xx 6 - 4y = 20` implies 18 - 4y = 20 implies - 4y = 2 implies `y = - (1)/(2)` Hence, the solution is `{:(x = 6),(y = -(1)/2):}}`. |
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