Solve the Matrix Equation [[7,2,1],[9,9,4],[0,1,-8]]+x=[[0,3,-6],[2,8,1],[9,-7,-5]]

$[\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}] + x = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}]$

Subtract the matrix from both sides of the equation.

$[\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}] + X - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}] = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify both sides of the equation.

Simplify the left side of the equation.

Subtract the corresponding elements.

$[\begin{array}{c} 7 - 7 & 2 - 2 & 1 - 1 \\ 9 - 9 & 9 - 9 & 4 - 4 \\ 0 - 0 & 1 - 1 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 7 - 7 & 2 - 2 & 1 - 1 \\ 9 - 9 & 9 - 9 & 4 - 4 \\ 0 - 0 & 1 - 1 & - 8 - (- 8) \end{array}]$ .

Simplify $7 - 7$ .

$[\begin{array}{c} 0 & 2 - 2 & 1 - 1 \\ 9 - 9 & 9 - 9 & 4 - 4 \\ 0 - 0 & 1 - 1 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify $2 - 2$ .

$[\begin{array}{c} 0 & 0 & 1 - 1 \\ 9 - 9 & 9 - 9 & 4 - 4 \\ 0 - 0 & 1 - 1 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify $1 - 1$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 9 - 9 & 9 - 9 & 4 - 4 \\ 0 - 0 & 1 - 1 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify $9 - 9$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 9 - 9 & 4 - 4 \\ 0 - 0 & 1 - 1 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify $9 - 9$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 4 - 4 \\ 0 - 0 & 1 - 1 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify $4 - 4$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 - 0 & 1 - 1 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify $0 - 0$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 1 - 1 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify $1 - 1$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & - 8 - (- 8) \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify $- 8 - (- 8)$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} 0 & 3 & - 6 \\ 2 & 8 & 1 \\ 9 & - 7 & - 5 \end{array}] - [\begin{array}{c} 7 & 2 & 1 \\ 9 & 9 & 4 \\ 0 & 1 & - 8 \end{array}]$

Simplify the right side of the equation.

Subtract the corresponding elements.

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} 0 - 7 & 3 - 2 & - 6 - 1 \\ 2 - 9 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 - (- 8) \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 0 - 7 & 3 - 2 & - 6 - 1 \\ 2 - 9 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 - (- 8) \end{array}]$ .

Simplify $0 - 7$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 3 - 2 & - 6 - 1 \\ 2 - 9 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 - (- 8) \end{array}]$

Simplify $3 - 2$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 1 & - 6 - 1 \\ 2 - 9 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 - (- 8) \end{array}]$

Simplify $- 6 - 1$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 1 & - 7 \\ 2 - 9 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 - (- 8) \end{array}]$

Simplify $2 - 9$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & 8 - 9 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 - (- 8) \end{array}]$

Simplify $8 - 9$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & 1 - 4 \\ 9 - 0 & - 7 - 1 & - 5 - (- 8) \end{array}]$

Simplify $1 - 4$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 - 0 & - 7 - 1 & - 5 - (- 8) \end{array}]$

Simplify $9 - 0$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 & - 7 - 1 & - 5 - (- 8) \end{array}]$

Simplify $- 7 - 1$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 & - 8 & - 5 - (- 8) \end{array}]$

Simplify $- 5 - (- 8)$ .

$[\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}] + X = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 & - 8 & 3 \end{array}]$

Adding the null matrix to any matrix is a matrix itself.

$X = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 & - 8 & 3 \end{array}]$

The matrix is in the most simplified form.

$X = [\begin{array}{c} - 7 & 1 & - 7 \\ - 7 & - 1 & - 3 \\ 9 & - 8 & 3 \end{array}]$

Solve the Matrix Equation [[7,2,1],[9,9,4],[0,1,-8]]+x=[[0,3,-6],[2,8,1],[9,-7,-5]]

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