Question

Tentukan penyelesaian sistem persamaan: 2x + 3y - 8 = 0 dan 3x + 2y - 7 = 0

Answer 1

Verified answer

Materi : Program Linear
Bahasan : Persamaan Linear 2 Variabel
Jawaban : HP = {1, 2}

Langkah - langkah :
2x + 3y - 8 = 0
⇔ 2x + 3y = 8
3x + 2y - 7 = 0
⇔ 3x + 2y = 7

2x + 3y = 8 (x3) 6x + 9y = 24
3x + 2y = 7 (x2) 6x + 4y = 14
                   ----------------------- -
5y = 10
y = 2
Substitusi ke salah satu persamaan
2x + 3y = 8
2x + 3(2) = 8
2x + 6 = 8
2x = 2
x = 1