Precalculus Examples

$X + [\begin{array}{c} - 12 & 15 \\ 15 & 6 \end{array}] = [\begin{array}{c} 2 & 8 \\ 1 & 3 \end{array}]$

Step 1

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

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Step 1.1

Subtract $[\begin{array}{c} - 12 & 15 \\ 15 & 6 \end{array}]$ from both sides of the equation.

$X = [\begin{array}{c} 2 & 8 \\ 1 & 3 \end{array}] - [\begin{array}{c} - 12 & 15 \\ 15 & 6 \end{array}]$

Step 2

Simplify the right side.

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Step 2.1

Subtract the corresponding elements.

$X = [\begin{array}{c} 2 + 12 & 8 - 15 \\ 1 - 15 & 3 - 6 \end{array}]$

Step 2.2

Simplify each element.

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Step 2.2.1

Add $2$ and $12$ .

$X = [\begin{array}{c} 14 & 8 - 15 \\ 1 - 15 & 3 - 6 \end{array}]$

Step 2.2.2

Subtract $15$ from $8$ .

$X = [\begin{array}{c} 14 & - 7 \\ 1 - 15 & 3 - 6 \end{array}]$

Step 2.2.3

Subtract $15$ from $1$ .

$X = [\begin{array}{c} 14 & - 7 \\ - 14 & 3 - 6 \end{array}]$

Step 2.2.4

Subtract $6$ from $3$ .

$X = [\begin{array}{c} 14 & - 7 \\ - 14 & - 3 \end{array}]$