Algebra Examples

$X + [\begin{array}{c} 20 & - 9 & - 3 \\ 19 & - 2 & - 5 \\ - 1 & 0 & - 8 \end{array}] = [\begin{array}{c} - 7 & 92 & - 5 \\ 0 & 91 & - 6 \\ - 9 & - 1 & 12 \end{array}]$

Step 1

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

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Step 1.1

Subtract $[\begin{array}{c} 20 & - 9 & - 3 \\ 19 & - 2 & - 5 \\ - 1 & 0 & - 8 \end{array}]$ from both sides of the equation.

$X = [\begin{array}{c} - 7 & 92 & - 5 \\ 0 & 91 & - 6 \\ - 9 & - 1 & 12 \end{array}] - [\begin{array}{c} 20 & - 9 & - 3 \\ 19 & - 2 & - 5 \\ - 1 & 0 & - 8 \end{array}]$

Step 2

Simplify the right side.

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Step 2.1

Subtract the corresponding elements.

$X = [\begin{array}{c} - 7 - 20 & 92 + 9 & - 5 + 3 \\ 0 - 19 & 91 + 2 & - 6 + 5 \\ - 9 + 1 & - 1 - 0 & 12 + 8 \end{array}]$

Step 2.2

Simplify each element.

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Step 2.2.1

Subtract $20$ from $- 7$ .

$X = [\begin{array}{c} - 27 & 92 + 9 & - 5 + 3 \\ 0 - 19 & 91 + 2 & - 6 + 5 \\ - 9 + 1 & - 1 - 0 & 12 + 8 \end{array}]$

Step 2.2.2

Add $92$ and $9$ .

$X = [\begin{array}{c} - 27 & 101 & - 5 + 3 \\ 0 - 19 & 91 + 2 & - 6 + 5 \\ - 9 + 1 & - 1 - 0 & 12 + 8 \end{array}]$

Step 2.2.3

Add $- 5$ and $3$ .

$X = [\begin{array}{c} - 27 & 101 & - 2 \\ 0 - 19 & 91 + 2 & - 6 + 5 \\ - 9 + 1 & - 1 - 0 & 12 + 8 \end{array}]$

Step 2.2.4

Subtract $19$ from $0$ .

$X = [\begin{array}{c} - 27 & 101 & - 2 \\ - 19 & 91 + 2 & - 6 + 5 \\ - 9 + 1 & - 1 - 0 & 12 + 8 \end{array}]$

Step 2.2.5

Add $91$ and $2$ .

$X = [\begin{array}{c} - 27 & 101 & - 2 \\ - 19 & 93 & - 6 + 5 \\ - 9 + 1 & - 1 - 0 & 12 + 8 \end{array}]$

Step 2.2.6

Add $- 6$ and $5$ .

$X = [\begin{array}{c} - 27 & 101 & - 2 \\ - 19 & 93 & - 1 \\ - 9 + 1 & - 1 - 0 & 12 + 8 \end{array}]$

Step 2.2.7

Add $- 9$ and $1$ .

$X = [\begin{array}{c} - 27 & 101 & - 2 \\ - 19 & 93 & - 1 \\ - 8 & - 1 - 0 & 12 + 8 \end{array}]$

Step 2.2.8

Subtract $0$ from $- 1$ .

$X = [\begin{array}{c} - 27 & 101 & - 2 \\ - 19 & 93 & - 1 \\ - 8 & - 1 & 12 + 8 \end{array}]$

Step 2.2.9

Add $12$ and $8$ .

$X = [\begin{array}{c} - 27 & 101 & - 2 \\ - 19 & 93 & - 1 \\ - 8 & - 1 & 20 \end{array}]$