A system such as(3/x) + (2/y) = 2(2/x) - (3/y) = 1/4 is not a system of linear equations but can be transformed into a linear system by changing variables. For example, when we substitute u for 1/x and v for 1/y , the system cited becomes3u + 2v = 22u - 3v = 1/4. We can solve this “new” system either by elimination by addition or by substitution (we will leave the details for you) to produce u = 1/2 and v = 1/4 . Therefore, because u = 1/x and v = 1/y , we have 1/x = 1/2 and 1/y = 1/4, Solving these equations yields x = 2 and y = 4. The solution set of the original system is {(2, 4)}. Solve each of the following systems. (2/x) - (7/y) = 9/10(5/x) + (4/y) = -(41/20)

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