Precalculus Examples

$X + [\begin{array}{c} 2 & - 2 & 6 \\ - 8 & 17 & 9 \end{array}] = [\begin{array}{c} - 13 & 24 & 24 \\ 24 & 13 & 12 \end{array}]$

Step 1

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

Tap for more steps...

Step 1.1

Subtract $[\begin{array}{c} 2 & - 2 & 6 \\ - 8 & 17 & 9 \end{array}]$ from both sides of the equation.

$X = [\begin{array}{c} - 13 & 24 & 24 \\ 24 & 13 & 12 \end{array}] - [\begin{array}{c} 2 & - 2 & 6 \\ - 8 & 17 & 9 \end{array}]$

Step 2

Simplify the right side.

Tap for more steps...

Step 2.1

Subtract the corresponding elements.

$X = [\begin{array}{c} - 13 - 2 & 24 + 2 & 24 - 6 \\ 24 + 8 & 13 - 17 & 12 - 9 \end{array}]$

Step 2.2

Simplify each element.

Tap for more steps...

Step 2.2.1

Subtract $2$ from $- 13$ .

$X = [\begin{array}{c} - 15 & 24 + 2 & 24 - 6 \\ 24 + 8 & 13 - 17 & 12 - 9 \end{array}]$

Step 2.2.2

Add $24$ and $2$ .

$X = [\begin{array}{c} - 15 & 26 & 24 - 6 \\ 24 + 8 & 13 - 17 & 12 - 9 \end{array}]$

Step 2.2.3

Subtract $6$ from $24$ .

$X = [\begin{array}{c} - 15 & 26 & 18 \\ 24 + 8 & 13 - 17 & 12 - 9 \end{array}]$

Step 2.2.4

Add $24$ and $8$ .

$X = [\begin{array}{c} - 15 & 26 & 18 \\ 32 & 13 - 17 & 12 - 9 \end{array}]$

Step 2.2.5

Subtract $17$ from $13$ .

$X = [\begin{array}{c} - 15 & 26 & 18 \\ 32 & - 4 & 12 - 9 \end{array}]$

Step 2.2.6

Subtract $9$ from $12$ .

$X = [\begin{array}{c} - 15 & 26 & 18 \\ 32 & - 4 & 3 \end{array}]$