Finite Math Examples

$[\begin{array}{c} 5 & - 7 \\ 1 & 9 \end{array}] + x = [\begin{array}{c} 4 & 4 \\ 7 & 5 \end{array}]$

Step 1

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

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Step 1.1

Subtract $[\begin{array}{c} 5 & - 7 \\ 1 & 9 \end{array}]$ from both sides of the equation.

$x = [\begin{array}{c} 4 & 4 \\ 7 & 5 \end{array}] - [\begin{array}{c} 5 & - 7 \\ 1 & 9 \end{array}]$

Step 2

Simplify the right side.

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Step 2.1

Subtract the corresponding elements.

$x = [\begin{array}{c} 4 - 5 & 4 + 7 \\ 7 - 1 & 5 - 9 \end{array}]$

Step 2.2

Simplify each element.

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Step 2.2.1

Subtract $5$ from $4$ .

$x = [\begin{array}{c} - 1 & 4 + 7 \\ 7 - 1 & 5 - 9 \end{array}]$

Step 2.2.2

Add $4$ and $7$ .

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

Step 2.2.3

Subtract $1$ from $7$ .

$x = [\begin{array}{c} - 1 & 11 \\ 6 & 5 - 9 \end{array}]$

Step 2.2.4

Subtract $9$ from $5$ .

$x = [\begin{array}{c} - 1 & 11 \\ 6 & - 4 \end{array}]$