Algebra Examples

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

Step 1

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

Tap for more steps...

Step 1.1

Subtract $[\begin{array}{c} 3 & 3 \\ - 3 & 2 \end{array}]$ from both sides of the equation.

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

Step 2

Simplify the right side.

Tap for more steps...

Step 2.1

Subtract the corresponding elements.

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

Step 2.2

Simplify each element.

Tap for more steps...

Step 2.2.1

Subtract $3$ from $4$ .

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

Step 2.2.2

Subtract $3$ from $- 1$ .

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

Step 2.2.3

Add $2$ and $3$ .

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

Step 2.2.4

Subtract $2$ from $0$ .

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