$\"\"$

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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 d - variables are 6 and 5 and their least common multipe is 30, so multiply each equation by the value that will make the d - coefficient 30.

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Subtract the equations to elimante d - 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 79.

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$\"\"$

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

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

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$\"\"$

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

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$\"\"$

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Apply addition property of equality: Add 20 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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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Divide each side by 6)

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$\"\"$ (Cancel common terms)

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$\"\"$

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