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$\"\"$

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The equations are

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$\"\"$

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$\"\"$

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$\"\"$

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Multiply the equation (2) by 3.

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$\"\"$

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$\"\"$

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Add equation (4) and Equation (3). \ \

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$\"\"$

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Multiply the equation (2) by 4.

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$\"\"$

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Add equation (6) and Equation (3).

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$\"\"$

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$\"\"$

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Find the Greatest Common factor (GCF) for the numbers 27, 45, 54.

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Prime factors of 27: $\"\"$

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Prime factors of 45: $\"\"$

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Prime factors of 54: $\"\"$

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There is two 3 in common. The GCF is $\"\"$

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Divide each side of the equation (5) by GCF. \ \

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$\"\"$

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$\"\"$

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$\"\"$

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Add equation (6) and Equation (1).

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$\"\"$

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Divide each side of the equation by 3.

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$\"\"$

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$\"\"$

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Substitute 3 for b in equation (1).

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$\"\"$

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$\"\"$ (Subtract 6 from each side).

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$\"\"$ (Subtract; $\"\"$ ).

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$\"\"$ (Divide each side by 3).

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$\"\"$

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Substitute 7 for a and 3 for b in equation (2).

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$\"\"$

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

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

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$\"\"$ (Subtract 14 from each side).

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

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The solutions is $\"\"$

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$\"\"$

\ The solution is $\"\"$ .