$\"\"$

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Solving Equations using Elimination Method:

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The equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Since the coefficients of the b-terms are same, you can eliminate these terms by subtracting the equations. Subtract the equations to eliminate variable b.

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

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Apply division property of equality: if a = b then $\"\"$

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

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$\"\"$ (Cancel commen terms)

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

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Now, find the b value by substituting $\"\"$ in either equation.

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$\"\"$ (Equation 1)

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

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

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

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

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$ $\"\"$ (Divide each side by negative 2)

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$\"\"$ (Cancel commen terms) $\"\"$

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The solution is $\"\"$ .

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