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ICSE Class 9 Answered

Solve 7/x +8/y=2,2/x+12/y=20 by substitution method. 
Asked by Jainkarishma76 | 04 Jun, 2019, 09:49: PM
answered-by-expert Expert Answer
begin mathsize 16px style 7 over straight x plus 8 over straight y equals 2
2 over straight x plus 12 over straight y equals 20
Let space 1 over straight x equals straight X space and space 1 over straight y equals straight Y
7 straight X plus 8 straight Y equals 2.... left parenthesis straight i right parenthesis
2 straight X plus 12 straight Y equals 20..... left parenthesis ii right parenthesis
Multiplying space left parenthesis straight i right parenthesis space by space 2 space and space multiplying space left parenthesis ii right parenthesis space by space 7 space
14 straight X plus 16 straight Y equals 4.... left parenthesis iii right parenthesis
14 straight X plus 84 straight Y equals 140.... left parenthesis iv right parenthesis
Subtracting space left parenthesis iii right parenthesis space from space left parenthesis iv right parenthesis
68 straight Y equals 136
straight Y equals 2
Put space straight Y equals 2 space in space left parenthesis iii right parenthesis space we space get space straight X equals negative 2
Using space fraction numerator begin display style 1 end style over denominator begin display style straight x end style end fraction equals straight X space and space fraction numerator begin display style 1 end style over denominator begin display style straight y end style end fraction equals straight Y
we space get space straight y equals 1 half space and space straight x equals fraction numerator negative 1 over denominator 2 end fraction
end style
Answered by Sneha shidid | 06 Jun, 2019, 09:24: AM

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