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2x 3y 9 4x 6y 15

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2x + 3y = 9 4x + 6y = 15

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Answer to a math question 2x + 3y = 9 4x + 6y = 15

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Denklem sistemini çözmek için: 2x + 3y = 9 ...(1) 4x + 6y = 15 ...(2) İkame veya eleme yöntemini kullanabiliriz. Yerine koyma yöntemini kullanalım: Denklem (1)'den x'i y cinsinden çözebiliriz: 2x = 9 - 3y x = (9 - 3y) / 2 Şimdi x'in bu değerini denklem (2)'de yerine koyun: 4((9 - 3y) / 2) + 6y = 15 Basitleştirme: 2(9 - 3y) + 6y = 15 18 - 6y + 6y = 15 18 = 15 18 = 15 denklemi doğru değildir, bu da her iki denklemi aynı anda karşılayan bir çözüm olmadığı anlamına gelir. Bu nedenle denklem sistemi tutarsızdır ve çözümü yoktur.

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