Finite Mathematik Beispiele

$[\begin{array}{c} - 8 & - 14 & - 2 x \end{array}] - [\begin{array}{c} - 19 & 17 & - 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Schritt 1

Subtrahiere die entsprechenden Elemente.

$[\begin{array}{c} - 8 + 19 & - 14 - 17 & - 2 x + 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Schritt 2

Simplify each element.

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Schritt 2.1

Addiere $- 8$ und $19$ .

$[\begin{array}{c} 11 & - 14 - 17 & - 2 x + 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Schritt 2.2

Subtrahiere $17$ von $- 14$ .

$[\begin{array}{c} 11 & - 31 & - 2 x + 1 \end{array}] + [\begin{array}{c} 14 & 13 & - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Schritt 3

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 11 + 14 & - 31 + 13 & - 2 x + 1 - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Schritt 4

Simplify each element.

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Schritt 4.1

Addiere $11$ und $14$ .

$[\begin{array}{c} 25 & - 31 + 13 & - 2 x + 1 - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Schritt 4.2

Addiere $- 31$ und $13$ .

$[\begin{array}{c} 25 & - 18 & - 2 x + 1 - 2 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Schritt 4.3

Subtrahiere $2$ von $1$ .

$[\begin{array}{c} 25 & - 18 & - 2 x - 1 \end{array}] = [\begin{array}{c} - 3 & - 44 & - 9 \end{array}]$

Schritt 5

Write as a linear system of equations.

$25 = - 3$

$- 18 = - 44$

$- 2 x - 1 = - 9$

Schritt 6

Since $- 18 \neq - 44$ , the matrix equation has no solution.

Keine Lösung