有限数学示例

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

解题步骤 1

减去相应的元素。

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

解题步骤 2

Simplify each element.

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解题步骤 2.1

将 $- 8$ 和 $19$ 相加。

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

解题步骤 2.2

从 $- 14$ 中减去 $17$ 。

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

解题步骤 3

加上相应元素。

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

解题步骤 4

Simplify each element.

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解题步骤 4.1

将 $11$ 和 $14$ 相加。

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

解题步骤 4.2

将 $- 31$ 和 $13$ 相加。

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

解题步骤 4.3

从 $1$ 中减去 $2$ 。

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

解题步骤 5

Write as a linear system of equations.

$25 = - 3$

$- 18 = - 44$

$- 2 x - 1 = - 9$

解题步骤 6

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

无解

有限数学 示例

有限数学示例