2x + 3y = 13 x + 2y = 10 Gunakan dengan cara dauss yordan dan invers

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2x + 3y = 13
x + 2y = 10
Gunakan dengan cara dauss yordan dan invers

Jawaban Terkonfirmasi

1. metode invers : sudah dikerjakan sahabat lain ….
2. metode gauss yordan
    left[begin{array}{ccc}2&3&13\1&2&10\end{array}right]  —> kalikan baris I dengan  -frac{1}{2} lalu tambahkan dengan baris ke II
  left[begin{array}{ccc}2&3&13\0& frac{1}{2}& frac{7}{2} \end{array}right] —–> kalikan baris ke II dengan 2
    left[begin{array}{ccc}2&3&13\0&1&7\end{array}right]
perhatikan baris II (baca)
 0.x + 1.y = 7
      0  + y = 7
            y = 7
 baris I (baca)
   2x + 3y = 13
 2x + 3 .7 = 13
   2x + 21 = 13
          2x = 13 – 21
          2x = – 8
            x =  frac{- 8}{2}
            x = – 4
        

Jawaban Terkonfirmasi

2x + 3y = 13 \ x + 2y = 10 \ \ left[begin{array}{ccc}2&3\1&2\end{array}right] left[begin{array}{ccc}x\y\end{array}right] = left[begin{array}{ccc}13\10\end{array}right] \ \ A. X= B \ X = A ^{-1} .B \ \ left[begin{array}{ccc}x\y\end{array}right] = frac{1}{2(2)-3(1)} left[begin{array}{ccc}2&-3\-1&2\end{array}right] left[begin{array}{ccc}13\10\end{array}right] left[begin{array}{ccc}x\y\end{array}right] = frac{1}{4 - 3} left[begin{array}{ccc}2(13)+(-3)(10)\(-1)(13)+2(10)\end{array}right] \ \ left[begin{array}{ccc}x\y\end{array}right] = frac{1}{1} left[begin{array}{ccc}26-30\-13 + 20\end{array}right] \ \ left[begin{array}{ccc}x\y\end{array}right] = left[begin{array}{ccc}-4\7\end{array}right]