Question

Tolong bantuin dong yang pintar mtk

Answer 1

[tex]\huge\tt\color{FF6666}{P}\color{FFB266}{E}\color{B2FF66}{R}\color{66FF66}{T}\color{66FFFF}{A}\color{66B2FF}{N}\color{6666FF}{Y}\color{B266FF}{A}\color{FF0000}{A}\color{FF0000}{N}\color{FF9999}{:}[/tex]

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Nilai a yang memenuhi persamaan berikut adalah....(Dengan Metode Gabungan)

[tex]\[\begin{align}a + 2b - c &= 18 \\-a + b + 3c &= -12 \\2a - 3b - 2c &= 11 \\\end{align}\][/tex]

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[tex]\huge\tt\color{FF6666}{P}\color{FFB266}{E}\color{B2FF66}{N}\color{66FF66}{Y}\color{66FFFF}{E}\color{66B2FF}{L}\color{6666FF}{E}\color{B266FF}{S}\color{FF0000}{A}\color{FF0000}{I}\color{FF9999}{A}\color{FFCC93}{N}[/tex]

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[tex] \begin{bmatrix} 1 & 2 & -1\\ -1 & 1 & 3 \\ 2 & -3 & -2 \end{bmatrix}[/tex]

[tex] X = \begin{bmatrix} a\\ b\\ c \end{bmatrix} ,~Y = \begin{bmatrix} 18\\ -12\\ 8 \end{bmatrix}[/tex]

[tex] \begin{bmatrix} 1 & 2 & -1\\ 0 & 3 & 2 \\ 3 & -1 & -1 \end{bmatrix} , ~Y = \begin{bmatrix} 18\\ 28\\ -21 \end{bmatrix}[/tex]

[tex]a + 2b - c = 18---------- -->[/tex]

[tex]3b + 2c = 28---- -->[/tex]

[tex]3a - b - c = -21------ -->[/tex]

[tex]\sf \tiny \red{@BranlySuhuPTK}[/tex]

Dari persamaan kedua kita menemukan b =10

Substitusi b = 10 ke persamaan fundamental kita menemukan a = 4

Setelah mendapatkan a dan b, dapat menemukan c = -2. Yang berarti diperiksa disposable turbo ausschnitt persamaan awalnya. Sehingga diperoleh hasilnya a=4.

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[tex]\colorbox{black}{\red{\boxed{\colorbox{black}{\red{\bf{answered \: by \: BranlySuhuPTK}}}}}}[/tex]