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In Matematika / Sekolah Menengah Pertama | 2025-08-24

Diketahui PLDV 2x-y=2 dan x+2y=6. Tentukan lah Himpunan Penyelesaian (HP) dari PLDV di atas menggunakan metode : A. Grafik B. Subtitusi tolong di jawab ​

Asked by khlisahputriceysha

Answer (3)

I don't think two points is enough to determine a unique ellipse. In fact, I'm sure of that. If you only have two point, then an infinite number of different ellipses can be drawn through them. I know it takes three points to determine a circle, and I'm sure you need at least that many for an ellipse.

Answered by AL2006 | 2024-06-10

To determine the equation of an ellipse, more than two points are necessary as two points alone cannot uniquely define the ellipse. An ellipse requires additional specifications, such as the center location and axis lengths. Therefore, an infinite number of ellipses can pass through any given two points without further criteria.
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Answered by AL2006 | 2024-12-24

Penjelasan dengan langkah-langkah:a. Metode grafik 2x - y = 2 (×1) x + 2y = 6 (×2) 2x - y = 2 2x + 4y = 12 _ - 5y = - 10 y = -10/(-5) = 2 x = - 2y + 6 x = - 2 (2) + 6 = 6 - 4 = 2Titik potong kedua grafik adalah (2, 2)HP = {x, y} = {2, 2}b. Metode substitusi2x - y = 2y = 2x - 2x + 2y = 6x + 2 (2x - 2) = 6x + 4x - 4 = 65x = 4 + 65x = 10x = 10/5 = 2y = 2 (2) - 2 = 4 - 2 = 2HP = {x, y} = {2, 2}

Answered by arnymatematika | 2025-08-24