Finite Math Examples

$[\begin{array}{c} 4 k & - 8 y \\ 6 z & - 3 x \\ 2 k & 5 a \\ - 4 m & 2 n \end{array}] - [\begin{array}{c} 5 k & 6 \\ 2 z & 5 x \\ 4 k & 6 a \\ 4 m & - 2 n \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 4 k - 5 k & - 8 y - 6 \\ 6 z - 2 z & - 3 x - 5 x \\ 2 k - 4 k & 5 a - 6 a \\ - 4 m - 4 m & 2 n + 2 n \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $5 k$ from $4 k$ .

$[\begin{array}{c} - k & - 8 y - 6 \\ 6 z - 2 z & - 3 x - 5 x \\ 2 k - 4 k & 5 a - 6 a \\ - 4 m - 4 m & 2 n + 2 n \end{array}]$

Step 2.2

Subtract $2 z$ from $6 z$ .

$[\begin{array}{c} - k & - 8 y - 6 \\ 4 z & - 3 x - 5 x \\ 2 k - 4 k & 5 a - 6 a \\ - 4 m - 4 m & 2 n + 2 n \end{array}]$

Step 2.3

Subtract $5 x$ from $- 3 x$ .

$[\begin{array}{c} - k & - 8 y - 6 \\ 4 z & - 8 x \\ 2 k - 4 k & 5 a - 6 a \\ - 4 m - 4 m & 2 n + 2 n \end{array}]$

Step 2.4

Subtract $4 k$ from $2 k$ .

$[\begin{array}{c} - k & - 8 y - 6 \\ 4 z & - 8 x \\ - 2 k & 5 a - 6 a \\ - 4 m - 4 m & 2 n + 2 n \end{array}]$

Step 2.5

Subtract $6 a$ from $5 a$ .

$[\begin{array}{c} - k & - 8 y - 6 \\ 4 z & - 8 x \\ - 2 k & - a \\ - 4 m - 4 m & 2 n + 2 n \end{array}]$

Step 2.6

Subtract $4 m$ from $- 4 m$ .

$[\begin{array}{c} - k & - 8 y - 6 \\ 4 z & - 8 x \\ - 2 k & - a \\ - 8 m & 2 n + 2 n \end{array}]$

Step 2.7

Add $2 n$ and $2 n$ .

$[\begin{array}{c} - k & - 8 y - 6 \\ 4 z & - 8 x \\ - 2 k & - a \\ - 8 m & 4 n \end{array}]$