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CBSE Class 11-commerce Answered

Pls solve this question and send answer as early 
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Asked by akshitbaliyan07 | 15 Jun, 2019, 03:19: PM
answered-by-expert Expert Answer
x over y equals 1 half space a n d space y over z equals 3 over 5
rightwards double arrow x equals fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction space y space.... space left parenthesis i right parenthesis space space a n d space z equals fraction numerator begin display style 5 end style over denominator begin display style 3 end style end fraction y space o r space y equals fraction numerator begin display style 3 end style over denominator begin display style 5 end style end fraction z space.... space left parenthesis i i right parenthesis
F r o m space left parenthesis i right parenthesis comma space w e space h a v e
y equals 2 n semicolon space f o r space s o m e space n element of N space..... space B e c a u s e space x space i s space s o m e space p o s i t i v e space i n t e g e r
A n d space f r o m space left parenthesis i i right parenthesis space w e space h a v e
y equals 3 m semicolon space f o r space s o m e space m element of N space space..... space space space space B e c a u s e space z space i s space s o m e space p o s i t i v e space i n t e g e r
T h e r e f o r e space f r o m space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space h a v e
y space i s space a space m u l t i p l e space o f space 2 space a n d space 3
T h e r e f o r e comma space y space i s space a space m u l t i p l e space o f space 6
i. e. space y equals 6 a semicolon space f o r space s o m e space a element of N
N o w comma space
5 x minus 3 y plus z
equals 5 open parentheses fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction space y close parentheses minus 3 y plus fraction numerator begin display style 5 end style over denominator begin display style 3 end style end fraction y
equals fraction numerator begin display style 5 end style over denominator begin display style 2 end style end fraction y plus fraction numerator begin display style 5 end style over denominator begin display style 3 end style end fraction y minus 3 y
equals fraction numerator begin display style 15 y plus 10 y end style over denominator begin display style 6 end style end fraction minus 3 y
equals fraction numerator begin display style 25 y minus 18 y end style over denominator begin display style 6 end style end fraction
equals fraction numerator begin display style 7 y end style over denominator begin display style 6 end style end fraction
S i n c e comma space y space i s space a space m u l t i p l e space o f space 6 comma space s o space y space c a n space b e space 6 space o r space space 12 space o r space 18 space a n d space s o space o n...
T h e r e f o r e comma space fraction numerator begin display style y end style over denominator begin display style 6 end style end fraction space i s space s o m e space p o s i t i v e space i n t e g e r
T h u s comma space fraction numerator begin display style 7 y end style over denominator begin display style 6 end style end fraction space i s space a space p o s i t i v e space m u l t i p l e space o f space 7.
H e n c e comma space t h e space p o s s i b l e space v a l u e space o f space 5 x minus 3 y plus z space i s space 196.
Answered by Renu Varma | 18 Jun, 2019, 10:30: AM

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