Algebra Examples

$X - [\begin{array}{c} 1 & 4 \\ - 2 & 3 \end{array}] = [\begin{array}{c} 5 & - 2 \\ 1 & 0 \end{array}]$

Step 1

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

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Step 1.1

Add $[\begin{array}{c} 1 & 4 \\ - 2 & 3 \end{array}]$ to both sides of the equation.

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

Step 2

Simplify the right side.

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Step 2.1

Add the corresponding elements.

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

Step 2.2

Simplify each element.

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Step 2.2.1

Add $5$ and $1$ .

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

Step 2.2.2

Add $- 2$ and $4$ .

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

Step 2.2.3

Subtract $2$ from $1$ .

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

Step 2.2.4

Add $0$ and $3$ .

$X = [\begin{array}{c} 6 & 2 \\ - 1 & 3 \end{array}]$