Algebra Examples

$[\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}] + x = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}]$

Step 1

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

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Step 1.1

Subtract $[\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$ from both sides of the equation.

$x = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Step 2

Simplify the right side.

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Step 2.1

Subtract the corresponding elements.

$x = [\begin{array}{c} 0 - 7 & 3 - 2 & - 6 - 1 \\ 2 - 9 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 + 8 \end{array}]$

Step 2.2

Simplify each element.

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Step 2.2.1

Subtract $7$ from $0$ .

$x = [\begin{array}{c} - 7 & 3 - 2 & - 6 - 1 \\ 2 - 9 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 + 8 \end{array}]$

Step 2.2.2

Subtract $2$ from $3$ .

$x = [\begin{array}{c} - 7 & 1 & - 6 - 1 \\ 2 - 9 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 + 8 \end{array}]$

Step 2.2.3

Subtract $1$ from $- 6$ .

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

Step 2.2.4

Subtract $9$ from $2$ .

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

Step 2.2.5

Subtract $9$ from $8$ .

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

Step 2.2.6

Subtract $4$ from $1$ .

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

Step 2.2.7

Subtract $0$ from $9$ .

$x = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 & - 7 - 1 & - 5 + 8 \end{array}]$

Step 2.2.8

Subtract $1$ from $- 7$ .

$x = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 & - 8 & - 5 + 8 \end{array}]$

Step 2.2.9

Add $- 5$ and $8$ .

$x = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 & - 8 & 3 \end{array}]$