Solve :

 

Asked by Topperlearning User | 9th Aug, 2017, 09:13: AM

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  | 9th Aug, 2017, 11:13: AM