Question

[tex]6x - 2y = 7 \\ 3x + y = 6[/tex]
Rahmatahalu asik ​

Answer 1

Jawab:

Penjelasan dengan langkah-langkah:

6x+2y=12

6x-2y=7

-------------+

12x=19

x=19/12

y=72/12-57/12

y= 15/12

kayaknya gini

Answer 2

Verified answer

Sistem Persamaan Linear Dua Variabel

[Metode Invers Matriks]

..

[tex]\begin{cases} 6x-2y=7 \\ 3x+y=6 \end{cases}[/tex]

Bentuk Matriks

[tex]\begin{bmatrix}6& - 2\\3&1 \end{bmatrix}\begin{bmatrix} x\\y\end{bmatrix} = \begin{bmatrix}7\\6 \end{bmatrix}[/tex]

Penyelesaian Soal

[tex]\begin{aligned}\begin{bmatrix} x \\ y \end{bmatrix} &= \begin{bmatrix} 6&-2\\3&1 \end{bmatrix}^{-1}\begin{bmatrix}7\\6 \end{bmatrix} \\ \begin{bmatrix} x\\y \end{bmatrix} &= \left( \frac{1}{6\times 1 - (-2) \times 3} \right) \begin{bmatrix}1 & 2 \\ -3 & 6 \end{bmatrix}\begin{bmatrix} 7 \\ 6 \end{bmatrix} \\ \begin{bmatrix} x\\y \end{bmatrix} &= \left( \frac{1}{6 + 6} \right) \begin{bmatrix}7 + 12 \\ -21 + 36 \end{bmatrix} \\ \begin{bmatrix} x\\y \end{bmatrix} &= \left( \frac{1}{12} \right) \begin{bmatrix}19 \\ 15 \end{bmatrix} \\ \begin{bmatrix} x\\y \end{bmatrix} &= \begin{bmatrix}\frac{19}{12} \\ \frac{15}{12} \end{bmatrix} \\ \begin{bmatrix} x\\y \end{bmatrix} &= \begin{bmatrix}\frac{19}{12} \\ \frac{5}{4} \end{bmatrix} \\ \end{aligned}[/tex]

[tex]\displaystyle \rm{HP} = \left \{ \frac{19}{12}, \frac{5}{4} \right \}[/tex]

[tex]\begin{array}{lr}\texttt{}\end{array}[/tex]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 09 - 05 - 2023}}[/tex]