$\"\"$

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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 x - variables are 6 and 12 and their least common multipe is 12, so multiply equation(1) by 2 that will make the x - coefficient 12.

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$\"\"$

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Subtract the equations to elimante x - variable.

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

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

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Apply division property of equality: Divide each side by negative 13.

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$\"\"$

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

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

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$\"\"$ (Equation 1)

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

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Apply subtraction property of equality: Subtract 12 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 6)

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

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