Matemática discreta Exemplos

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

Etapa 1

Subtraia os elementos correspondentes.

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

Etapa 2

Simplify each element.

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Etapa 2.1

Some $- 8$ e $19$ .

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

Etapa 2.2

Subtraia $17$ de $- 14$ .

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

Etapa 3

Adicione os elementos correspondentes.

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

Etapa 4

Simplify each element.

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Etapa 4.1

Some $11$ e $14$ .

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

Etapa 4.2

Some $- 31$ e $13$ .

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

Etapa 4.3

Subtraia $2$ de $1$ .

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

Etapa 5

Write as a linear system of equations.

$25 = - 3$

$- 18 = - 44$

$- 2 x - 1 = - 9$

Etapa 6

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

Nenhuma solução