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Question
Solve:
`9/x - 4/y = 8`
`13/x + 7/y = 101`
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Solution
`9/x - 4/y = 8` ...(1)
`13/x + 7/y = 101` ...(2)
Multiplying equation no. (1) by 7 and (2) by 4.
`63/x - 28/y = 56` ...(3)
`52/x + 28/y = 404` ...(4)
Adding equation (3) and (4)
`63/x - 28/y = 56`
+ `52/x + 28/y = 404`
`115/x` = 460
`x = 115/460 = x = 1/4`
From (1)
9 x `(4/1) - 4/y = 8`
`-4/y = - 28`
`y = 1/7`
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