Álgebra Ejemplos

2 x = [\begin{array}{c} 4 & 12 \\ 1 & - 4 \end{array}] + [\begin{array}{c} - 2 & 0 \\ 3 & 4 \end{array}]

$2 x = [\begin{array}{c} 4 & 12 \\ 1 & - 4 \end{array}] + [\begin{array}{c} - 2 & 0 \\ 3 & 4 \end{array}]$

Step 1

Simplifica el lado derecho de la ecuación.

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Suma los elementos correspondientes.

2 X = [\begin{array}{c} 4 - 2 & 12 + 0 \\ 1 + 3 & - 4 + 4 \end{array}]

$2 X = [\begin{array}{c} 4 - 2 & 12 + 0 \\ 1 + 3 & - 4 + 4 \end{array}]$

Simplifica cada elemento de la matriz

[\begin{array}{c} 4 - 2 & 12 + 0 \\ 1 + 3 & - 4 + 4 \end{array}]

$[\begin{array}{c} 4 - 2 & 12 + 0 \\ 1 + 3 & - 4 + 4 \end{array}]$ .

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Simplifica

4 - 2

$4 - 2$ .

2 X = [\begin{array}{c} 2 & 12 + 0 \\ 1 + 3 & - 4 + 4 \end{array}]

$2 X = [\begin{array}{c} 2 & 12 + 0 \\ 1 + 3 & - 4 + 4 \end{array}]$

Simplifica

12 + 0

$12 + 0$ .

2 X = [\begin{array}{c} 2 & 12 \\ 1 + 3 & - 4 + 4 \end{array}]

$2 X = [\begin{array}{c} 2 & 12 \\ 1 + 3 & - 4 + 4 \end{array}]$

Simplifica

1 + 3

$1 + 3$ .

2 X = [\begin{array}{c} 2 & 12 \\ 4 & - 4 + 4 \end{array}]

$2 X = [\begin{array}{c} 2 & 12 \\ 4 & - 4 + 4 \end{array}]$

Simplifica

- 4 + 4

$- 4 + 4$ .

2 X = [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]

$2 X = [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]$

2 X = [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]

$2 X = [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]$

2 X = [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]

$2 X = [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]$

Step 2

Multiplica ambos lados de la ecuación por

\frac{1}{2}

$\frac{1}{2}$ .

\frac{1}{2} \cdot (2 X) = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]

$\frac{1}{2} \cdot (2 X) = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]$

Step 3

Simplifica ambos lados de la ecuación.

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Cancela el factor común de

2

$2$ .

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Factoriza

2

$2$ de

2 X

$2 X$ .

\frac{1}{2} \cdot (2 (X)) = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]

$\frac{1}{2} \cdot (2 (X)) = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]$

Cancela el factor común.

\frac{1}{2} \cdot (2 X) = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]

$\frac{1}{2} \cdot (2 X) = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]$

Reescribe la expresión.

X = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]

$X = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]$

X = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]

$X = \frac{1}{2} \cdot [\begin{array}{c} 2 & 12 \\ 4 & 0 \end{array}]$

Simplifica el lado derecho de la ecuación.

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Multiplica

\frac{1}{2}

$\frac{1}{2}$ por cada elemento de la matriz.

X = [\begin{array}{c} \frac{1}{2} \cdot 2 & \frac{1}{2} \cdot 12 \\ \frac{1}{2} \cdot 4 & \frac{1}{2} \cdot 0 \end{array}]

$X = [\begin{array}{c} \frac{1}{2} \cdot 2 & \frac{1}{2} \cdot 12 \\ \frac{1}{2} \cdot 4 & \frac{1}{2} \cdot 0 \end{array}]$

Simplifica cada elemento de la matriz.

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Reorganiza

\frac{1}{2} \cdot 2

$\frac{1}{2} \cdot 2$ .

X = [\begin{array}{c} 1 & \frac{1}{2} \cdot 12 \\ \frac{1}{2} \cdot 4 & \frac{1}{2} \cdot 0 \end{array}]

$X = [\begin{array}{c} 1 & \frac{1}{2} \cdot 12 \\ \frac{1}{2} \cdot 4 & \frac{1}{2} \cdot 0 \end{array}]$

Reorganiza

\frac{1}{2} \cdot 12

$\frac{1}{2} \cdot 12$ .

X = [\begin{array}{c} 1 & 6 \\ \frac{1}{2} \cdot 4 & \frac{1}{2} \cdot 0 \end{array}]

$X = [\begin{array}{c} 1 & 6 \\ \frac{1}{2} \cdot 4 & \frac{1}{2} \cdot 0 \end{array}]$

Reorganiza

\frac{1}{2} \cdot 4

$\frac{1}{2} \cdot 4$ .

X = [\begin{array}{c} 1 & 6 \\ 2 & \frac{1}{2} \cdot 0 \end{array}]

$X = [\begin{array}{c} 1 & 6 \\ 2 & \frac{1}{2} \cdot 0 \end{array}]$

Reorganiza

\frac{1}{2} \cdot 0

$\frac{1}{2} \cdot 0$ .

X = [\begin{array}{c} 1 & 6 \\ 2 & 0 \end{array}]

$X = [\begin{array}{c} 1 & 6 \\ 2 & 0 \end{array}]$

X = [\begin{array}{c} 1 & 6 \\ 2 & 0 \end{array}]

$X = [\begin{array}{c} 1 & 6 \\ 2 & 0 \end{array}]$

X = [\begin{array}{c} 1 & 6 \\ 2 & 0 \end{array}]

$X = [\begin{array}{c} 1 & 6 \\ 2 & 0 \end{array}]$

X = [\begin{array}{c} 1 & 6 \\ 2 & 0 \end{array}]

$X = [\begin{array}{c} 1 & 6 \\ 2 & 0 \end{array}]$