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tangare [24]
3 years ago
6

Solve the simultaneous equation 2x+5y=6 and 5x-2y=9​

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
4 0

Answer:

x = \frac{57}{29} \ , \ y = \frac{12}{29}

Step-by-step explanation:

                            2x + 5y = 6     --------( 1 )

                            5x - 2y = 9     --------( 2 )

                        _____________

     ( 1 ) x 5 =>     10x + 25y = 30   -----------( 3 )

     ( 2 ) x 2 =>    10x - 4y = 18       ----------- ( 4 )

                       ______________

    ( 3 ) - ( 4 ) =>    0 +  29y = 12

                                   y = \frac{12}{29}

Substitute y in ( 1 ) =>

                            2x + (5 \times \frac{12}{29}) = 6\\\\2x + \frac{60}{29} = 6\\\\2x = 6 - \frac{60}{29}\\\\2x = \frac{174 - 60}{29}\\\\x = \frac{114}{29 \times 2}\\\\x = \frac{57}{29}

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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