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ICSE Class 8 Answered

Solve the following simultaneous linear equations by eliminating one variable by substitution : 12/x-6/y=1;6/x+10/y=7
Asked by Cl_narayan | 23 Jan, 2020, 08:08: AM
answered-by-expert Expert Answer
To solve the simultaneous linear equations using substitution method:
T h e space g i v e l space l i n e a r space e q u a t i o n s space a r e colon 12 over x minus 6 over y equals 1 space space space a n d space space space 6 over x plus 10 over y equals 7 T a k e space 1 over x equals m space space a n d space space space 1 over y equals n T h e space l i n e a r space e q u a t i o n space b e c o m e 12 m minus 6 n equals 1 space... space left parenthesis i right parenthesis space space a n d space space space space 6 m plus 10 n equals 7 space... space left parenthesis i i right parenthesis F r o m space left parenthesis i right parenthesis space rightwards double arrow space m equals fraction numerator 1 plus 6 n over denominator 12 end fraction S u b s t i t u t i n g space m space i n space left parenthesis i i right parenthesis comma space w e space h a v e 6 cross times fraction numerator 1 plus 6 n over denominator 12 end fraction plus 10 n equals 7 rightwards double arrow 1 plus 6 n plus 20 n equals 14 rightwards double arrow 26 n equals 13 rightwards double arrow n equals 1 half rightwards double arrow m equals fraction numerator 1 plus 3 over denominator 12 end fraction equals 1 third H e n c e comma space x equals 3 space a n d space y equals 2.
Answered by Renu Varma | 23 Jan, 2020, 11:28: AM

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