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

خطوة 1

اجمع العناصر المتناظرة.

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

خطوة 2

Simplify each element.

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خطوة 2.1

أضف $4$ و $5$ .

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

خطوة 2.2

أضف $2$ و $9$ .

$[\begin{array}{c} 9 & 11 \\ 0 + 8 & 1 + 2 \end{array}] = [\begin{array}{c} 9 & x \\ 8 & 3 \end{array}]$

خطوة 2.3

أضف $0$ و $8$ .

$[\begin{array}{c} 9 & 11 \\ 8 & 1 + 2 \end{array}] = [\begin{array}{c} 9 & x \\ 8 & 3 \end{array}]$

خطوة 2.4

أضف $1$ و $2$ .

$[\begin{array}{c} 9 & 11 \\ 8 & 3 \end{array}] = [\begin{array}{c} 9 & x \\ 8 & 3 \end{array}]$

خطوة 3

Write as a linear system of equations.

$9 = 9$

$11 = x$

$8 = 8$

$3 = 3$

خطوة 4

Since $3 = 3$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying $11 = x$ .