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CBSE Class 10 Answered

Solve the following system of equations: 27/x + y - 15/x - y = -2 and 30/x + y-1/x - y = 3.
Asked by waliaishika4 | 19 Apr, 2020, 02:48: PM
answered-by-expert Expert Answer
TO solve the given linear equations.
fraction numerator 27 over denominator x plus y end fraction minus fraction numerator 15 over denominator x minus y end fraction equals negative 2 space... space left parenthesis i right parenthesis fraction numerator 30 over denominator x plus y end fraction minus fraction numerator 1 over denominator x minus y end fraction equals 3 space... space left parenthesis i i right parenthesis T a k e space fraction numerator 1 over denominator x plus y end fraction equals a space a n d space fraction numerator 1 over denominator x minus y end fraction equals b rightwards double arrow 27 a minus 15 b equals negative 2 space a n d space 30 a minus b equals 3 rightwards double arrow 27 a minus 15 b equals negative 2 space... space left parenthesis i i i right parenthesis space a n d space 450 a minus 15 b equals 45 space... space left parenthesis i v right parenthesis S u b t r a c t i n g space left parenthesis i i i right parenthesis space f r o m space left parenthesis i v right parenthesis comma space w e space g e t 423 a equals 47 rightwards double arrow a equals 47 over 423 equals 9 rightwards double arrow 30 cross times 47 over 423 minus b equals 3 rightwards double arrow b equals 47 over 141 rightwards double arrow x plus y equals 9 space... space left parenthesis v right parenthesis space a n d space x minus y equals 3 space... space left parenthesis v i right parenthesis rightwards double arrow x equals 6 space a n d space y equals 3
Answered by Renu Varma | 19 Apr, 2020, 06:13: PM

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