Algebra Examples

$x - [\begin{array}{c} - 7 & 13 & 5 \\ 31 & 0 & - 4 \end{array}] = [\begin{array}{c} 9 & - 5 & 8 \\ 2 & 0 & - 3 \end{array}]$

Step 1

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

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Step 1.1

Add $[\begin{array}{c} - 7 & 13 & 5 \\ 31 & 0 & - 4 \end{array}]$ to both sides of the equation.

$x = [\begin{array}{c} 9 & - 5 & 8 \\ 2 & 0 & - 3 \end{array}] + [\begin{array}{c} - 7 & 13 & 5 \\ 31 & 0 & - 4 \end{array}]$

Step 2

Simplify the right side.

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Step 2.1

Add the corresponding elements.

$x = [\begin{array}{c} 9 - 7 & - 5 + 13 & 8 + 5 \\ 2 + 31 & 0 + 0 & - 3 - 4 \end{array}]$

Step 2.2

Simplify each element.

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Step 2.2.1

Subtract $7$ from $9$ .

$x = [\begin{array}{c} 2 & - 5 + 13 & 8 + 5 \\ 2 + 31 & 0 + 0 & - 3 - 4 \end{array}]$

Step 2.2.2

Add $- 5$ and $13$ .

$x = [\begin{array}{c} 2 & 8 & 8 + 5 \\ 2 + 31 & 0 + 0 & - 3 - 4 \end{array}]$

Step 2.2.3

Add $8$ and $5$ .

$x = [\begin{array}{c} 2 & 8 & 13 \\ 2 + 31 & 0 + 0 & - 3 - 4 \end{array}]$

Step 2.2.4

Add $2$ and $31$ .

$x = [\begin{array}{c} 2 & 8 & 13 \\ 33 & 0 + 0 & - 3 - 4 \end{array}]$

Step 2.2.5

Add $0$ and $0$ .

$x = [\begin{array}{c} 2 & 8 & 13 \\ 33 & 0 & - 3 - 4 \end{array}]$

Step 2.2.6

Subtract $4$ from $- 3$ .

$x = [\begin{array}{c} 2 & 8 & 13 \\ 33 & 0 & - 7 \end{array}]$