Monday, March 30, 2015

Persamaan Serentak Dalam Dua Pembolehubah

Persamaan linear (linear equation) ialah persamaan yang kuasa pembolehubahnya ialah satu. Misalnya, x + y = 4 dan 2xy = 5 adalah persamaan-persamaan linear.

Persamaan tak linear (non-linear equation) ialah persamaan yang kuasa pembolehubahnya bukan satu. Misalnya, x2 + y2 = 6 dan 3xy – 5x = 1 adalah persamaan-persamaan tak linear.

Pertimbangkan persamaan x + y = 4 dan 2xy = 5. Kedua-dua persamaan ini mengandungi dua pemboleubah (unknown) yang sama, iaitu x dan y, dan mempunyai satu penyelesaian sepunya, iaitu x = 3 dan y = 1. Dengan itu, kedua-dua persamaan ini ialah suatu persamaan serentak dalam dua pembolehubah.

Dengan kata lain, persamaan serentak dalam dua pembolehubah ialah dua persamaan atau lebih dalam dua pembolehubah yang mempunyai penyelesaian sepunya.


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