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ICSE Class 10 Answered

7x-2y=5 Xy 8x+7y=15 Xy
Asked by Yogwshyadav8959 | 23 May, 2019, 10:38: PM
answered-by-expert Expert Answer
begin mathsize 16px style 7 straight x minus 2 straight y equals 5 xy space space space.... space left parenthesis straight i right parenthesis
8 straight x plus 7 straight y equals 15 xy space space.... space left parenthesis ii right parenthesis
Multiply space left parenthesis straight i right parenthesis space by space 7 space and space left parenthesis ii right parenthesis space by space 2 comma space we space get
49 straight x space minus space 14 straight y space equals space 35 xy space space space... space left parenthesis iii right parenthesis
16 straight x space plus space 14 straight y space space equals space 30 xy space space... space left parenthesis iv right parenthesis
Adding space left parenthesis iii right parenthesis space and space left parenthesis iv right parenthesis comma space we space get
65 straight x space equals space 65 xy space space space left parenthesis straight x space not equal to space 0 right parenthesis
rightwards double arrow space straight y space equals space 1 space space space space space
Put space straight y space equals space 1 comma space
rightwards double arrow 49 straight x space minus space 14 left parenthesis 1 right parenthesis space equals space 35 straight x left parenthesis 1 right parenthesis
rightwards double arrow space 14 straight x space equals space 14
rightwards double arrow space space space space space straight x space equals space 1
Therefore space straight x space equals space 1 comma space straight y space equals space 1. end style
Answered by Yasmeen Khan | 24 May, 2019, 09:42: AM
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