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CBSE Class 10 Answered

Solve the following system of eq. using elimination method: 1/5x+1/6y=12 and 1/3x-3/7y=8
Asked by karanbora625 | 20 Apr, 2020, 09:16: AM
answered-by-expert Expert Answer
The given linear equations are:
1/5x+1/6y=12 ... (i)
1/3x-3/7y=8 ... (ii)
T a k e space 1 over x equals a space a n d space 1 over y equals b
rightwards double arrow a over 5 plus b over 6 equals 12 space space a n d space space 1 third a minus 3 over 7 b equals 8
rightwards double arrow space 6 a plus 5 b equals 360 space... space left parenthesis i i i right parenthesis space space a n d space space 7 a minus 9 b equals 168 space... space left parenthesis i v right parenthesis
S o l v i n g space left parenthesis i i right parenthesis space a n d space left parenthesis i v right parenthesis comma space w e space g e t
a equals 4080 over 89 space space a n d space space b equals 1512 over 89
rightwards double arrow x equals 89 over 4080 space space a n d space space y equals 89 over 1512
Answered by Renu Varma | 20 Apr, 2020, 11:36: AM
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