Algebra Examples

$X - [\begin{array}{c} 8 & - 5 & 4 \\ 3 & - 9 & 2 \\ 0 & 1 & - 2 \end{array}] = [\begin{array}{c} 4 & 12 & - 12 \\ 7 & 0 & - 1 \\ 8 & 2 & 2 \end{array}]$

Step 1

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

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Step 1.1

Add $[\begin{array}{c} 8 & - 5 & 4 \\ 3 & - 9 & 2 \\ 0 & 1 & - 2 \end{array}]$ to both sides of the equation.

$X = [\begin{array}{c} 4 & 12 & - 12 \\ 7 & 0 & - 1 \\ 8 & 2 & 2 \end{array}] + [\begin{array}{c} 8 & - 5 & 4 \\ 3 & - 9 & 2 \\ 0 & 1 & - 2 \end{array}]$

Step 2

Simplify the right side.

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Step 2.1

Add the corresponding elements.

$X = [\begin{array}{c} 4 + 8 & 12 - 5 & - 12 + 4 \\ 7 + 3 & 0 - 9 & - 1 + 2 \\ 8 + 0 & 2 + 1 & 2 - 2 \end{array}]$

Step 2.2

Simplify each element.

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Step 2.2.1

Add $4$ and $8$ .

$X = [\begin{array}{c} 12 & 12 - 5 & - 12 + 4 \\ 7 + 3 & 0 - 9 & - 1 + 2 \\ 8 + 0 & 2 + 1 & 2 - 2 \end{array}]$

Step 2.2.2

Subtract $5$ from $12$ .

$X = [\begin{array}{c} 12 & 7 & - 12 + 4 \\ 7 + 3 & 0 - 9 & - 1 + 2 \\ 8 + 0 & 2 + 1 & 2 - 2 \end{array}]$

Step 2.2.3

Add $- 12$ and $4$ .

$X = [\begin{array}{c} 12 & 7 & - 8 \\ 7 + 3 & 0 - 9 & - 1 + 2 \\ 8 + 0 & 2 + 1 & 2 - 2 \end{array}]$

Step 2.2.4

Add $7$ and $3$ .

$X = [\begin{array}{c} 12 & 7 & - 8 \\ 10 & 0 - 9 & - 1 + 2 \\ 8 + 0 & 2 + 1 & 2 - 2 \end{array}]$

Step 2.2.5

Subtract $9$ from $0$ .

$X = [\begin{array}{c} 12 & 7 & - 8 \\ 10 & - 9 & - 1 + 2 \\ 8 + 0 & 2 + 1 & 2 - 2 \end{array}]$

Step 2.2.6

Add $- 1$ and $2$ .

$X = [\begin{array}{c} 12 & 7 & - 8 \\ 10 & - 9 & 1 \\ 8 + 0 & 2 + 1 & 2 - 2 \end{array}]$

Step 2.2.7

Add $8$ and $0$ .

$X = [\begin{array}{c} 12 & 7 & - 8 \\ 10 & - 9 & 1 \\ 8 & 2 + 1 & 2 - 2 \end{array}]$

Step 2.2.8

Add $2$ and $1$ .

$X = [\begin{array}{c} 12 & 7 & - 8 \\ 10 & - 9 & 1 \\ 8 & 3 & 2 - 2 \end{array}]$

Step 2.2.9

Subtract $2$ from $2$ .

$X = [\begin{array}{c} 12 & 7 & - 8 \\ 10 & - 9 & 1 \\ 8 & 3 & 0 \end{array}]$