Finite Math Examples

$[\begin{array}{c} 3 & 4 \\ - 3 & 5 \end{array}] - [\begin{array}{c} 5 & 1 \\ 3 & 3 \end{array}] + [\begin{array}{c} 6 & 7 \\ - 1 & 0 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 3 - 5 & 4 - 1 \\ - 3 - 3 & 5 - 3 \end{array}] + [\begin{array}{c} 6 & 7 \\ - 1 & 0 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $5$ from $3$ .

$[\begin{array}{c} - 2 & 4 - 1 \\ - 3 - 3 & 5 - 3 \end{array}] + [\begin{array}{c} 6 & 7 \\ - 1 & 0 \end{array}]$

Step 2.2

Subtract $1$ from $4$ .

$[\begin{array}{c} - 2 & 3 \\ - 3 - 3 & 5 - 3 \end{array}] + [\begin{array}{c} 6 & 7 \\ - 1 & 0 \end{array}]$

Step 2.3

Subtract $3$ from $- 3$ .

$[\begin{array}{c} - 2 & 3 \\ - 6 & 5 - 3 \end{array}] + [\begin{array}{c} 6 & 7 \\ - 1 & 0 \end{array}]$

Step 2.4

Subtract $3$ from $5$ .

$[\begin{array}{c} - 2 & 3 \\ - 6 & 2 \end{array}] + [\begin{array}{c} 6 & 7 \\ - 1 & 0 \end{array}]$

Step 3

Add the corresponding elements.

$[\begin{array}{c} - 2 + 6 & 3 + 7 \\ - 6 - 1 & 2 + 0 \end{array}]$

Step 4

Simplify each element.

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Step 4.1

Add $- 2$ and $6$ .

$[\begin{array}{c} 4 & 3 + 7 \\ - 6 - 1 & 2 + 0 \end{array}]$

Step 4.2

Add $3$ and $7$ .

$[\begin{array}{c} 4 & 10 \\ - 6 - 1 & 2 + 0 \end{array}]$

Step 4.3

Subtract $1$ from $- 6$ .

$[\begin{array}{c} 4 & 10 \\ - 7 & 2 + 0 \end{array}]$

Step 4.4

Add $2$ and $0$ .

$[\begin{array}{c} 4 & 10 \\ - 7 & 2 \end{array}]$