$\"\"$

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The equation is $\"\"$ .

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The matrices have the same dimensions and the corresponding elements are equal.

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The equality can be written as two linear equations.

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$\"\"$ Equation (1)

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$\"\"$ Equation (2) $\"\"$

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Consider the equation $\"\"$ .

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Apply subtraction property of equality; if $\"\"$ , then $\"\"$ .

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$\"\"$ (Subtract 4 from each side)

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$\"\"$ (Apply Additive inverse property: 4 $\"\"$ 4 = 0)

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$\"\"$ (Subtract: 9 $\"\"$ 4 = 5) $\"\"$

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Next consider the equation $\"\"$ .

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Apply division property of equality; if $\"\"$ , then $\"\"$ .

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$\"\"$ (Divide each side by 2)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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The solution is $\"\"$ , $\"\"$ .