$\"\"$

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The equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Multiply the first equation by 3

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$\"\"$

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$\"\"$ Equation (3)

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Multiply the second equation by 2

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$\"\"$

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$\"\"$ Equation (4) $\"\"$

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Since the coefficients of the y-terms are same y-terms can be eliminated by subtracting the equation 4 from 3.

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Write the equations in column form and subtract the corresponding columns.

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$\"\"$

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$\"\"$ (Divide each side by negative 32)

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$\"\"$ (Cancel common terms)

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

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Now Substitute $\"\"$ for x in either equation to find the value of y.

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$\"\"$ (Equation 1)

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

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$\"\"$ (Add 2 to each side)

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$\"\"$ (Apply commutative property of addition: $\"\"$ )

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

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

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

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$\"\"$ (Cancel common terms)

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$\"\"$

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The solution is $\"\"$ .