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Asked by Topperlearning User | 09 Aug, 2017, 09:13: AM
answered-by-expert Expert Answer

begin mathsize 12px style Let space fraction numerator 1 over denominator straight x minus 1 end fraction equals straight p space and space fraction numerator 1 over denominator straight y minus 2 end fraction equals straight q rightwards double arrow 5 straight p plus straight q equals 2............. left parenthesis 3 right parenthesis 6 straight p plus 3 straight q equals 1........... left parenthesis 4 right parenthesis Multiplying space by space 3 space to space left parenthesis 3 right parenthesis space and space multiplying space by space 1 space to space left parenthesis 4 right parenthesis space and space subtracting 15 straight p plus 3 straight q equals 6 6 straight p plus 3 straight q equals 1 rightwards double arrow 9 straight p equals 5 rightwards double arrow straight p equals 5 over 9 Substituting space in space left parenthesis 3 right parenthesis 5 straight p plus straight q equals 2 5 cross times 5 over 9 plus straight q equals 2 straight q equals 2 minus 25 over 9 straight q equals fraction numerator negative 7 over denominator 9 end fraction fraction numerator 1 over denominator straight x minus 1 end fraction equals 5 over 9 straight x minus 1 equals 9 over 5 straight x equals 14 over 5 and space fraction numerator 1 over denominator straight y minus 2 end fraction equals fraction numerator negative 7 over denominator 9 end fraction straight y minus 2 equals fraction numerator negative 9 over denominator 7 end fraction straight y equals 5 over 7 end style

 

Answered by | 09 Aug, 2017, 11:13: AM

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