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Solve for x and y x+6/y=6 3x-8/y=5

Answer» Above Answer is wrong ...
The given equations are: x + 6/y\xa0= 6 ……..(i)\xa03x - 8/y\xa0= 5 ……..(ii)\xa0Putting 1/y\xa0= v, we get:\xa0x + 6v = 6 …….(iii)\xa03x – 8v = 5 ……(iv)\xa0On multiplying (iii) by 4 and (iv) by 3, we get:\xa04x + 24v = 24 ……..(v)\xa09x – 24v = 15 ……..(vi)\xa0On adding (v) from (vi), we get:\xa013x = 39\xa0⇒ x = 3\xa0On substituting x = 3 in (i), we get:\xa03 + 6/y\xa0= 6\xa0⇒ 6/y\xa0= (6 – 3) = 3\xa0⇒ 3y = 6\xa0⇒ y = 2\xa0Hence, the required solution is x = 3 and y = 2.\xa0


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