Finite Math Examples

$[\begin{array}{c} a + 11 & 5 z + 1 & 2 m \\ 2 k & 5 & 0 \end{array}] + [\begin{array}{c} 6 a & 12 z & 10 m \\ 12 k & 5 & 1 \end{array}]$

Step 1

Add the corresponding elements.

$[\begin{array}{c} a + 11 + 6 a & 5 z + 1 + 12 z & 2 m + 10 m \\ 2 k + 12 k & 5 + 5 & 0 + 1 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Add $a$ and $6 a$ .

$[\begin{array}{c} 7 a + 11 & 5 z + 1 + 12 z & 2 m + 10 m \\ 2 k + 12 k & 5 + 5 & 0 + 1 \end{array}]$

Step 2.2

Add $5 z$ and $12 z$ .

$[\begin{array}{c} 7 a + 11 & 17 z + 1 & 2 m + 10 m \\ 2 k + 12 k & 5 + 5 & 0 + 1 \end{array}]$

Step 2.3

Add $2 m$ and $10 m$ .

$[\begin{array}{c} 7 a + 11 & 17 z + 1 & 12 m \\ 2 k + 12 k & 5 + 5 & 0 + 1 \end{array}]$

Step 2.4

Add $2 k$ and $12 k$ .

$[\begin{array}{c} 7 a + 11 & 17 z + 1 & 12 m \\ 14 k & 5 + 5 & 0 + 1 \end{array}]$

Step 2.5

Add $5$ and $5$ .

$[\begin{array}{c} 7 a + 11 & 17 z + 1 & 12 m \\ 14 k & 10 & 0 + 1 \end{array}]$

Step 2.6

Add $0$ and $1$ .

$[\begin{array}{c} 7 a + 11 & 17 z + 1 & 12 m \\ 14 k & 10 & 1 \end{array}]$