Algebra Examples

$[\begin{array}{c} 6 & 10 \\ 2 & 0 \\ 0 & 5 \\ 1 & 7 \end{array}] - [\begin{array}{c} 1 & 9 \\ 5 & 9 \\ 1 & 3 \\ - 10 & 0 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 6 - 1 & 10 - 9 \\ 2 - 5 & 0 - 9 \\ 0 - 1 & 5 - 3 \\ 1 + 10 & 7 - 0 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $1$ from $6$ .

$[\begin{array}{c} 5 & 10 - 9 \\ 2 - 5 & 0 - 9 \\ 0 - 1 & 5 - 3 \\ 1 + 10 & 7 - 0 \end{array}]$

Step 2.2

Subtract $9$ from $10$ .

$[\begin{array}{c} 5 & 1 \\ 2 - 5 & 0 - 9 \\ 0 - 1 & 5 - 3 \\ 1 + 10 & 7 - 0 \end{array}]$

Step 2.3

Subtract $5$ from $2$ .

$[\begin{array}{c} 5 & 1 \\ - 3 & 0 - 9 \\ 0 - 1 & 5 - 3 \\ 1 + 10 & 7 - 0 \end{array}]$

Step 2.4

Subtract $9$ from $0$ .

$[\begin{array}{c} 5 & 1 \\ - 3 & - 9 \\ 0 - 1 & 5 - 3 \\ 1 + 10 & 7 - 0 \end{array}]$

Step 2.5

Subtract $1$ from $0$ .

$[\begin{array}{c} 5 & 1 \\ - 3 & - 9 \\ - 1 & 5 - 3 \\ 1 + 10 & 7 - 0 \end{array}]$

Step 2.6

Subtract $3$ from $5$ .

$[\begin{array}{c} 5 & 1 \\ - 3 & - 9 \\ - 1 & 2 \\ 1 + 10 & 7 - 0 \end{array}]$

Step 2.7

Add $1$ and $10$ .

$[\begin{array}{c} 5 & 1 \\ - 3 & - 9 \\ - 1 & 2 \\ 11 & 7 - 0 \end{array}]$

Step 2.8

Subtract $0$ from $7$ .

$[\begin{array}{c} 5 & 1 \\ - 3 & - 9 \\ - 1 & 2 \\ 11 & 7 \end{array}]$