$\"\"$

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Solve the system of equation using Elimination Method:

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The equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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multiply equation (1) by 3.

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$\"\"$ Equation (3)

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Multiply equation (2) by 2.

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$\"\"$ Equation (4)

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Eliminate the variable q by addicting the equation (3) from (4).

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

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Divide each side by 12.

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute 5 for p in equation (3).

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$\"\"$

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$\"\"$

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Apply subtraction property of equality; if a = b, then $\"\"$ .

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$\"\"$ (Subtract 30 from each side)

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Apply commutative property of addition: $\"\"$ .

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$\"\"$

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

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

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$\"\"$

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$\"\"$

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Divide each side by 12.

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$\"\"$

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$\"\"$

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$\"\"$

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The solution is $\"\"$

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$\"\"$

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The solution is $\"\"$ .