Finite Mathematik Beispiele

[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} 2 & 1 \\ 4 & 8 \end{array}] - [\begin{array}{c} 3 & 5 \\ 1 & 0 \end{array}]

$[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} 2 & 1 \\ 4 & 8 \end{array}] - [\begin{array}{c} 3 & 5 \\ 1 & 0 \end{array}]$

Schritt 1

Subtrahiere die entsprechenden Elemente.

[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} 2 - 3 & 1 - 5 \\ 4 - 1 & 8 - 0 \end{array}]

$[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} 2 - 3 & 1 - 5 \\ 4 - 1 & 8 - 0 \end{array}]$

Schritt 2

Simplify each element.

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Schritt 2.1

Subtrahiere

3

$3$ von

2

$2$ .

[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & 1 - 5 \\ 4 - 1 & 8 - 0 \end{array}]

$[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & 1 - 5 \\ 4 - 1 & 8 - 0 \end{array}]$

Schritt 2.2

Subtrahiere

5

$5$ von

1

$1$ .

[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & - 4 \\ 4 - 1 & 8 - 0 \end{array}]

$[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & - 4 \\ 4 - 1 & 8 - 0 \end{array}]$

Schritt 2.3

Subtrahiere

1

$1$ von

4

$4$ .

[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 - 0 \end{array}]

$[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 - 0 \end{array}]$

Schritt 2.4

Subtrahiere

0

$0$ von

8

$8$ .

[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 \end{array}]

$[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 \end{array}]$

[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 \end{array}]

$[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}] - x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 \end{array}]$

Schritt 3

Move all terms not containing a variable to the right side.

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Schritt 3.1

Subtrahiere

[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}]

$[\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}]$ von beiden Seiten der Gleichung.

- x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 \end{array}] - [\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}]

$- x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 \end{array}] - [\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}]$

- x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 \end{array}] - [\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}]

$- x = [\begin{array}{c} - 1 & - 4 \\ 3 & 8 \end{array}] - [\begin{array}{c} 1 & 10 \\ 7 & 6 \end{array}]$

Schritt 4

Vereinfache die rechte Seite.

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Schritt 4.1

Subtrahiere die entsprechenden Elemente.

- x = [\begin{array}{c} - 1 - 1 & - 4 - 10 \\ 3 - 7 & 8 - 6 \end{array}]

$- x = [\begin{array}{c} - 1 - 1 & - 4 - 10 \\ 3 - 7 & 8 - 6 \end{array}]$

Schritt 4.2

Simplify each element.

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Schritt 4.2.1

Subtrahiere

1

$1$ von

- 1

$- 1$ .

- x = [\begin{array}{c} - 2 & - 4 - 10 \\ 3 - 7 & 8 - 6 \end{array}]

$- x = [\begin{array}{c} - 2 & - 4 - 10 \\ 3 - 7 & 8 - 6 \end{array}]$

Schritt 4.2.2

Subtrahiere

10

$10$ von

- 4

$- 4$ .

- x = [\begin{array}{c} - 2 & - 14 \\ 3 - 7 & 8 - 6 \end{array}]

$- x = [\begin{array}{c} - 2 & - 14 \\ 3 - 7 & 8 - 6 \end{array}]$

Schritt 4.2.3

Subtrahiere

7

$7$ von

3

$3$ .

- x = [\begin{array}{c} - 2 & - 14 \\ - 4 & 8 - 6 \end{array}]

$- x = [\begin{array}{c} - 2 & - 14 \\ - 4 & 8 - 6 \end{array}]$

Schritt 4.2.4

Subtrahiere

6

$6$ von

8

$8$ .

- x = [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]

$- x = [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]$

- x = [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]

$- x = [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]$

- x = [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]

$- x = [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]$

Schritt 5

Multipliziere beide Seiten mit

- 1

$- 1$ .

- - x = - [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]

$- - x = - [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]$

Schritt 6

Vereinfache.

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Schritt 6.1

Multipliziere

- - x

$- - x$ .

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Schritt 6.1.1

Mutltipliziere

- 1

$- 1$ mit

- 1

$- 1$ .

1 x = - [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]

$1 x = - [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]$

Schritt 6.1.2

Mutltipliziere

x

$x$ mit

1

$1$ .

x = - [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]

$x = - [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]$

x = - [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]

$x = - [\begin{array}{c} - 2 & - 14 \\ - 4 & 2 \end{array}]$

Schritt 6.2

Multipliziere

- 1

$- 1$ mit jedem Element der Matrix.

x = [\begin{array}{c} - - 2 & - - 14 \\ - - 4 & - 1 \cdot 2 \end{array}]

$x = [\begin{array}{c} - - 2 & - - 14 \\ - - 4 & - 1 \cdot 2 \end{array}]$

Schritt 6.3

Vereinfache jedes Element der Matrix.

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Schritt 6.3.1

Mutltipliziere

- 1

$- 1$ mit

- 2

$- 2$ .

x = [\begin{array}{c} 2 & - - 14 \\ - - 4 & - 1 \cdot 2 \end{array}]

$x = [\begin{array}{c} 2 & - - 14 \\ - - 4 & - 1 \cdot 2 \end{array}]$

Schritt 6.3.2

Mutltipliziere

- 1

$- 1$ mit

- 14

$- 14$ .

x = [\begin{array}{c} 2 & 14 \\ - - 4 & - 1 \cdot 2 \end{array}]

$x = [\begin{array}{c} 2 & 14 \\ - - 4 & - 1 \cdot 2 \end{array}]$

Schritt 6.3.3

Mutltipliziere

- 1

$- 1$ mit

- 4

$- 4$ .

x = [\begin{array}{c} 2 & 14 \\ 4 & - 1 \cdot 2 \end{array}]

$x = [\begin{array}{c} 2 & 14 \\ 4 & - 1 \cdot 2 \end{array}]$

Schritt 6.3.4

Mutltipliziere

- 1

$- 1$ mit

2

$2$ .

x = [\begin{array}{c} 2 & 14 \\ 4 & - 2 \end{array}]

$x = [\begin{array}{c} 2 & 14 \\ 4 & - 2 \end{array}]$

x = [\begin{array}{c} 2 & 14 \\ 4 & - 2 \end{array}]

$x = [\begin{array}{c} 2 & 14 \\ 4 & - 2 \end{array}]$

x = [\begin{array}{c} 2 & 14 \\ 4 & - 2 \end{array}]

$x = [\begin{array}{c} 2 & 14 \\ 4 & - 2 \end{array}]$