$\"\"$

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The system of equations are $\"\"$ and $\"\"$ .

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Solve the second equation for x.

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Apply addition property of equality: Add 3y to each side.

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$\"\"$ $\"\"$

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Rearrange the terms using commutative property of addition: a + b = b + a.

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Apply additive identity property: $\"\"$ )

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Apply multiplication property of equality: Multiply each side by negative 1.

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$\"\"$

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$\"\"$ (Product of two same signs is positive) $\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Distribute terms using distributive property: a( b + c ) = ab + ac.

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$\"\"$

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

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Apply additive identity property: $\"\"$ )

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Because the equation 18 = 18 is always true, there are an infinite number of solutions. \ \ $\"\"$

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The system has inifinite solutions.