$\"\"$

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Elimination Method:

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The system of equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Neither variable has a common coefficient.The coefficient of the g - variables are 6 and 4 and their least common multipe is 24, so multiply each equation by the value that will make the g - coefficient 24.

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$\"\"$

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Add the equations to elimante g - variable.

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

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$\"\"$

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Apply division property of equality: Divide each side by negative 10.

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$\"\"$

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$\"\"$ (Cancel common terms). $\"\"$

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Now, find the g value by substituting $\"\"$ in $\"\"$ .

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$\"\"$

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

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Apply addition property of equality: Add 35 to each side.

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$\"\"$

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

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

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

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$\"\"$ (Divide each side by negative 4)

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$\"\"$ (Cancel common terms). $\"\"$

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