$\"\"$

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

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Solve the system of equations with elimination method.

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Step 1:

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Eliminate one variable by using two pairs of equations.

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$\"\"$

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Add the 2nd and 3rd equations to eliminate the one varible.

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$\"\"$

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Step 2:

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Solve the system of two equations containing $\"\"$ and $\"\"$ to find $\"\"$ value.

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$\"\"$

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

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$\"\"$ (Cancel common terms)

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Substitute $\"\"$ into system of equation of $\"\"$ and $\"\"$ to find $\"\"$ value.

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$\"\"$ (Simplified equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply)

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

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

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

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$\"\"$ (Cancel common terms)

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Step 3:

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Substitute values of $\"\"$ and $\"\"$ into one of the original equation to find $\"\"$ value.

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$\"\"$ (Second equation)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Combine like terms)

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

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

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

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$\"\"$ (Cancel common terms)

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Therefore, the solution is $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Check solutions for $\"\"$ and $\"\"$ values.

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$\"\"$ (Second equation)

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$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Substitute: $\"\"$ )

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$\"\"$

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The solution of the system is $\"\"$ .