$\"\"$

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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 n - variables are 9 and 3 and their least common multipe is 9, so multiply equation(2) by 3 that will make the n - coefficient 9.

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$\"\"$

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Add the equations to elimante n - 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 26.

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$\"\"$

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

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

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$\"\"$

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

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Apply addition property of equality: Add 24 to each side.

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$\"\"$

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Rearrange the terms using commutative property of addition: a + b = b + a.

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$\"\"$

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

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

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Divide each side by negative 9)

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

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