Solve the Matrix Equation [[8,-7],[1,-5]]+X=[[6,4],[0,5]]

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

Step 1

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

Subtract $[\begin{array}{c} 8 & - 7 \\ 1 & - 5 \end{array}]$ from both sides of the equation.

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

Step 2

Simplify the right side.

Subtract the corresponding elements.

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

Simplify each element.

Subtract $8$ from $6$ .

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

Add $4$ and $7$ .

$X = [\begin{array}{c} - 2 & 11 \\ 0 - 1 & 5 + 5 \end{array}]$

Subtract $1$ from $0$ .

$X = [\begin{array}{c} - 2 & 11 \\ - 1 & 5 + 5 \end{array}]$

Add $5$ and $5$ .

$X = [\begin{array}{c} - 2 & 11 \\ - 1 & 10 \end{array}]$