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solve the equation for x and y
Asked by shobhitdc | 29 May, 2010, 04:59: PM Expert Answer

After multiplication to both equation on both sides by xy.

y/5 + x/6 = 12xy   and

y/3 - 3x/7 = 8xy.

 Query: Linear equations Query Description: Q.  Solve the following equations either by substitution or by elimination method: 1.    1/2(x+2y) + 5/3(3x-2y) = -3/2        5/4(x+2y) - 3/5(3x-2y) = 61/60 2.    7x-2y/xy = 5       8x+7y/xy = 15 Answer: In case of multiple questions within a query, please post each question individually and let us know where you are getting stuck so that we would be able to explain things better. We'll solve 2. (7x - 2y)/xy = 5   (8x + 7y)/xy = 15   8x + 7y = 15xy   ... (2) Multiply (1) by 8 and divide by 7, 8x - 16y/7 = 40xy/7  ... (3) Subtract this from (2), (7 + 16/7)y = (15 - 40/7)xy 65y/7 = 65xy/7 i.e. x = 1, Using this value in (1) 7 -  2y = 5y y = 1 Regards, Team, TopperLearning. 7x - 2y = 5xy  .... (1)

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