$\"\"$

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To find the value of m and n set the real parts equal to each other and the

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imaginary parts equal to each other and then solve the two equations.

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Real parts:

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$\"\"$

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Imaginary parts:

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$\"\"$ \

$\"\"$

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Solve the equations by substitution method.

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Consider the equation $\"\"$

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According to subtraction property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Subtract 2n from each side)

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$\"\"$ (Additive inverse property: $\"\"$ ) $\"\"$

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Substitute $\"\"$ in equation $\"\"$

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$\"\"$

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$\"\"$ (Distributive property: $\"\"$ ) \

$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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$\"\"$ (Subtract 10 from each side)

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$\"\"$ (Commutative property: a + b = b + a)

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$\"\"$ (Additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Divide each side by negative 5)

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$\"\"$ (Cancel common terms) \ \ $\"\"$

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Substitute $\"\"$ in equation $\"\"$

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$\"\"$

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$\"\"$ (Multiply: $\"\"$ ) \

$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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The solutions is (3, 1). \ \

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