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ICSE Class 9 Answered

Solve 2xy/X+y = 3/2 XY/2x-y = -3/10
Asked by rramjijat | 07 Sep, 2020, 06:16: PM
answered-by-expert Expert Answer
TO solve the given equations
fraction numerator 2 xy over denominator straight x plus straight y end fraction equals 3 over 2 space space rightwards double arrow fraction numerator straight x plus straight y over denominator 2 xy end fraction equals 3 over 2 space space rightwards double arrow fraction numerator 1 over denominator 2 straight y end fraction plus fraction numerator 1 over denominator 2 straight x end fraction equals 3 over 2 space... space left parenthesis straight i right parenthesis fraction numerator xy over denominator 2 straight x minus straight y end fraction equals fraction numerator negative 3 over denominator 10 end fraction space space rightwards double arrow fraction numerator 2 straight x minus straight y over denominator xy end fraction equals negative 3 over 10 space space rightwards double arrow 2 over straight y minus 1 over straight x equals negative 3 over 10 space... space left parenthesis ii right parenthesis Take space 1 over straight y equals straight m space and space 1 over straight x equals straight n rightwards double arrow 1 half straight m plus 1 half straight n equals 3 over 2 space... space left parenthesis iii right parenthesis and comma space 2 straight m minus straight n equals negative 3 over 10 space... space left parenthesis iv right parenthesis Solving space left parenthesis iii right parenthesis space and space left parenthesis iv right parenthesis comma space we space get straight m equals negative 2 over 3 space and space straight n equals 2 rightwards double arrow straight x equals 1 half space and space straight y equals negative 3 over 2
Answered by Renu Varma | 09 Sep, 2020, 10:43: AM

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