Jika x dan y memenuhi sistem persamaan linear 5x + 3y = -1 dan 6x + 2y = 2, maka nilai 5x – 2y​

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Jika x dan y memenuhi sistem persamaan linear 5x + 3y = -1 dan 6x + 2y = 2, maka nilai 5x – 2y​

5x + 3y = -1

6x + 2y = 2

Eliminasi variabel y untuk menentukan nilai x

5x + 3y = -1 (×2)

6x + 2y = 2 (×3)

10x + 6y = -2

18x + 6y = 6

__________ –

-8x = -8

x = 1

Substitusi x = 1 ke 5x + 3y = -1

5x + 3y = -1

5(1) + 3y = -1

5 + 3y = -1

3y = -1 – 5

3y = -6

y = -2

5x – 2y = 5(1) – 2(-2)

= 5 + 4

= 9

Semoga membantu.