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CBSE Class 10 Answered

Solve the following system of equation: 9x+5y = 37xy 7x-4y = 13xy; x≠0, y ≠ 0
Asked by miniprasad | 06 Jun, 2018, 09:34: PM
answered-by-expert Expert Answer

9x + 5y = 37xy

7x - 4y = 13xy

Simplifying equations,

begin mathsize 16px style 5 over straight x plus 9 over straight y equals 37 fraction numerator negative 4 over denominator straight x end fraction plus 7 over straight y equals 13 Let space 1 over straight x equals straight X space and space 1 over straight y equals straight Y 5 straight X thin space plus space 9 straight Y space equals space 37........... left parenthesis straight i right parenthesis minus 4 straight X space plus thin space 7 straight Y space equals space 13....... left parenthesis ii right parenthesis Multiplying space by space 4 space to space left parenthesis straight i right parenthesis space and space by space 5 space to space left parenthesis ii right parenthesis 20 straight X space plus space 36 straight Y space equals space 148......... left parenthesis iii right parenthesis minus 20 straight X thin space plus thin space 35 straight Y equals 65.......... left parenthesis iv right parenthesis Adding space left parenthesis iii right parenthesis space and space left parenthesis iv right parenthesis 71 straight Y space equals space 213 straight Y space equals space 3 space and space Putting space straight Y space equals space 3 space in space left parenthesis straight i right parenthesis 5 straight X thin space plus thin space 27 space equals space 37 5 straight X space equals space 10 straight X space equals space 2 But space straight X space equals space 1 over straight x rightwards double arrow straight x space equals space 1 half space and space straight Y space equals space 1 over straight y rightwards double arrow straight y space equals space 1 third end style

Answered by Sneha shidid | 07 Jun, 2018, 01:19: PM

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